A Fairly Simple Equation

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I'm new, so I thought I'd start with a fairly simple puzzle.(Simple doesn't necessarily mean easy.)



Can you fit the numbers $2, 3, 4, 5, 6,$ and $10$ into this equation, each replacing one letter, so that the result is $93$ (rounded to the nearest whole number)



Equation: $(A+B)(C-D)(E/F)$



I'm fairly certain there is only one solution.










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  • Welcome to Puzzling.SE! This is a great puzzle, are we allowed to reuse numbers to make additional numbers? Such as $(23 + 3)(45 - 5)(610 / 10)$? I just want to ensure we know the rules of this. Also, I would assume that the pairing of parenthesis is implying multiplication as with traditional math?
    – PerpetualJ
    21 mins ago










  • You can't combine or reuse numbers, and the pairs of parentheses is multiplication.
    – Excited Raichu
    12 mins ago














up vote
4
down vote

favorite
2












I'm new, so I thought I'd start with a fairly simple puzzle.(Simple doesn't necessarily mean easy.)



Can you fit the numbers $2, 3, 4, 5, 6,$ and $10$ into this equation, each replacing one letter, so that the result is $93$ (rounded to the nearest whole number)



Equation: $(A+B)(C-D)(E/F)$



I'm fairly certain there is only one solution.










share|improve this question







New contributor




Excited Raichu is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.



















  • Welcome to Puzzling.SE! This is a great puzzle, are we allowed to reuse numbers to make additional numbers? Such as $(23 + 3)(45 - 5)(610 / 10)$? I just want to ensure we know the rules of this. Also, I would assume that the pairing of parenthesis is implying multiplication as with traditional math?
    – PerpetualJ
    21 mins ago










  • You can't combine or reuse numbers, and the pairs of parentheses is multiplication.
    – Excited Raichu
    12 mins ago












up vote
4
down vote

favorite
2









up vote
4
down vote

favorite
2






2





I'm new, so I thought I'd start with a fairly simple puzzle.(Simple doesn't necessarily mean easy.)



Can you fit the numbers $2, 3, 4, 5, 6,$ and $10$ into this equation, each replacing one letter, so that the result is $93$ (rounded to the nearest whole number)



Equation: $(A+B)(C-D)(E/F)$



I'm fairly certain there is only one solution.










share|improve this question







New contributor




Excited Raichu is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











I'm new, so I thought I'd start with a fairly simple puzzle.(Simple doesn't necessarily mean easy.)



Can you fit the numbers $2, 3, 4, 5, 6,$ and $10$ into this equation, each replacing one letter, so that the result is $93$ (rounded to the nearest whole number)



Equation: $(A+B)(C-D)(E/F)$



I'm fairly certain there is only one solution.







mathematics






share|improve this question







New contributor




Excited Raichu is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question







New contributor




Excited Raichu is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|improve this question




share|improve this question






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Excited Raichu is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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asked 1 hour ago









Excited Raichu

314




314




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Excited Raichu is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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New contributor





Excited Raichu is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Excited Raichu is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











  • Welcome to Puzzling.SE! This is a great puzzle, are we allowed to reuse numbers to make additional numbers? Such as $(23 + 3)(45 - 5)(610 / 10)$? I just want to ensure we know the rules of this. Also, I would assume that the pairing of parenthesis is implying multiplication as with traditional math?
    – PerpetualJ
    21 mins ago










  • You can't combine or reuse numbers, and the pairs of parentheses is multiplication.
    – Excited Raichu
    12 mins ago
















  • Welcome to Puzzling.SE! This is a great puzzle, are we allowed to reuse numbers to make additional numbers? Such as $(23 + 3)(45 - 5)(610 / 10)$? I just want to ensure we know the rules of this. Also, I would assume that the pairing of parenthesis is implying multiplication as with traditional math?
    – PerpetualJ
    21 mins ago










  • You can't combine or reuse numbers, and the pairs of parentheses is multiplication.
    – Excited Raichu
    12 mins ago















Welcome to Puzzling.SE! This is a great puzzle, are we allowed to reuse numbers to make additional numbers? Such as $(23 + 3)(45 - 5)(610 / 10)$? I just want to ensure we know the rules of this. Also, I would assume that the pairing of parenthesis is implying multiplication as with traditional math?
– PerpetualJ
21 mins ago




Welcome to Puzzling.SE! This is a great puzzle, are we allowed to reuse numbers to make additional numbers? Such as $(23 + 3)(45 - 5)(610 / 10)$? I just want to ensure we know the rules of this. Also, I would assume that the pairing of parenthesis is implying multiplication as with traditional math?
– PerpetualJ
21 mins ago












You can't combine or reuse numbers, and the pairs of parentheses is multiplication.
– Excited Raichu
12 mins ago




You can't combine or reuse numbers, and the pairs of parentheses is multiplication.
– Excited Raichu
12 mins ago










3 Answers
3






active

oldest

votes

















up vote
2
down vote













I have the answer.




$(10+4)(6-2)(5/3)=93.333$ which when rounded off is 93.




To solve this I tried various ratios of E/F and divided it from 93 and tried to make the nearest integer from the given numbers.






share|improve this answer





























    up vote
    1
    down vote













    Just to be that guy.




    There are technically two unique solutions:
    $(10+4)(6−2)(5/3)=93.333$ rounds down to $93$. Found first by Sarthak Rout.
    Switching the first two numbers $(4+10)(6−2)(5/3)=93.333$ which rounds down to $93$.






    share



























      up vote
      1
      down vote













      Without doing any of the following, there are no solutions.



      • Combining numbers.

      • Reusing numbers.

      • Rotating numbers.

      • Rounding.

      When allowing numbers to be combined, there are thousands of solutions given that:




      There are 6 numbers, and this means there are 7 basic representations of combinations for each number, for example:
      $2, 22, 23, 24, 25, 26, 210$.


      However, if you go even further; you can create roughly 36 combinations for each number if you limit yourself to only a single repetition in a single combination.




      When rotating numbers is allowed, this number of solutions increases substantially, especially if combination is also allowed. Throw in rounding on top of all of this and you've got yourself a solution celebration similar to the ball drop in Time Square.



      Since rounding is allowed, but the rest are not; I can promise that there are at least 2 solutions:




      $(4 + 10)(6 - 2)(5 / 3) = 93$
      $(10 + 4)(6 - 2)(5 / 3) = 93$






      share






















      • @RobertS. Sorry, I was still updating my answer.
        – PerpetualJ
        6 secs ago










      Your Answer




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      3 Answers
      3






      active

      oldest

      votes








      3 Answers
      3






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes








      up vote
      2
      down vote













      I have the answer.




      $(10+4)(6-2)(5/3)=93.333$ which when rounded off is 93.




      To solve this I tried various ratios of E/F and divided it from 93 and tried to make the nearest integer from the given numbers.






      share|improve this answer


























        up vote
        2
        down vote













        I have the answer.




        $(10+4)(6-2)(5/3)=93.333$ which when rounded off is 93.




        To solve this I tried various ratios of E/F and divided it from 93 and tried to make the nearest integer from the given numbers.






        share|improve this answer
























          up vote
          2
          down vote










          up vote
          2
          down vote









          I have the answer.




          $(10+4)(6-2)(5/3)=93.333$ which when rounded off is 93.




          To solve this I tried various ratios of E/F and divided it from 93 and tried to make the nearest integer from the given numbers.






          share|improve this answer














          I have the answer.




          $(10+4)(6-2)(5/3)=93.333$ which when rounded off is 93.




          To solve this I tried various ratios of E/F and divided it from 93 and tried to make the nearest integer from the given numbers.







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 10 mins ago









          gabbo1092

          82112




          82112










          answered 20 mins ago









          Sarthak Rout

          313




          313




















              up vote
              1
              down vote













              Just to be that guy.




              There are technically two unique solutions:
              $(10+4)(6−2)(5/3)=93.333$ rounds down to $93$. Found first by Sarthak Rout.
              Switching the first two numbers $(4+10)(6−2)(5/3)=93.333$ which rounds down to $93$.






              share
























                up vote
                1
                down vote













                Just to be that guy.




                There are technically two unique solutions:
                $(10+4)(6−2)(5/3)=93.333$ rounds down to $93$. Found first by Sarthak Rout.
                Switching the first two numbers $(4+10)(6−2)(5/3)=93.333$ which rounds down to $93$.






                share






















                  up vote
                  1
                  down vote










                  up vote
                  1
                  down vote









                  Just to be that guy.




                  There are technically two unique solutions:
                  $(10+4)(6−2)(5/3)=93.333$ rounds down to $93$. Found first by Sarthak Rout.
                  Switching the first two numbers $(4+10)(6−2)(5/3)=93.333$ which rounds down to $93$.






                  share












                  Just to be that guy.




                  There are technically two unique solutions:
                  $(10+4)(6−2)(5/3)=93.333$ rounds down to $93$. Found first by Sarthak Rout.
                  Switching the first two numbers $(4+10)(6−2)(5/3)=93.333$ which rounds down to $93$.







                  share











                  share


                  share










                  answered 4 mins ago









                  Robert S.

                  1736




                  1736




















                      up vote
                      1
                      down vote













                      Without doing any of the following, there are no solutions.



                      • Combining numbers.

                      • Reusing numbers.

                      • Rotating numbers.

                      • Rounding.

                      When allowing numbers to be combined, there are thousands of solutions given that:




                      There are 6 numbers, and this means there are 7 basic representations of combinations for each number, for example:
                      $2, 22, 23, 24, 25, 26, 210$.


                      However, if you go even further; you can create roughly 36 combinations for each number if you limit yourself to only a single repetition in a single combination.




                      When rotating numbers is allowed, this number of solutions increases substantially, especially if combination is also allowed. Throw in rounding on top of all of this and you've got yourself a solution celebration similar to the ball drop in Time Square.



                      Since rounding is allowed, but the rest are not; I can promise that there are at least 2 solutions:




                      $(4 + 10)(6 - 2)(5 / 3) = 93$
                      $(10 + 4)(6 - 2)(5 / 3) = 93$






                      share






















                      • @RobertS. Sorry, I was still updating my answer.
                        – PerpetualJ
                        6 secs ago














                      up vote
                      1
                      down vote













                      Without doing any of the following, there are no solutions.



                      • Combining numbers.

                      • Reusing numbers.

                      • Rotating numbers.

                      • Rounding.

                      When allowing numbers to be combined, there are thousands of solutions given that:




                      There are 6 numbers, and this means there are 7 basic representations of combinations for each number, for example:
                      $2, 22, 23, 24, 25, 26, 210$.


                      However, if you go even further; you can create roughly 36 combinations for each number if you limit yourself to only a single repetition in a single combination.




                      When rotating numbers is allowed, this number of solutions increases substantially, especially if combination is also allowed. Throw in rounding on top of all of this and you've got yourself a solution celebration similar to the ball drop in Time Square.



                      Since rounding is allowed, but the rest are not; I can promise that there are at least 2 solutions:




                      $(4 + 10)(6 - 2)(5 / 3) = 93$
                      $(10 + 4)(6 - 2)(5 / 3) = 93$






                      share






















                      • @RobertS. Sorry, I was still updating my answer.
                        – PerpetualJ
                        6 secs ago












                      up vote
                      1
                      down vote










                      up vote
                      1
                      down vote









                      Without doing any of the following, there are no solutions.



                      • Combining numbers.

                      • Reusing numbers.

                      • Rotating numbers.

                      • Rounding.

                      When allowing numbers to be combined, there are thousands of solutions given that:




                      There are 6 numbers, and this means there are 7 basic representations of combinations for each number, for example:
                      $2, 22, 23, 24, 25, 26, 210$.


                      However, if you go even further; you can create roughly 36 combinations for each number if you limit yourself to only a single repetition in a single combination.




                      When rotating numbers is allowed, this number of solutions increases substantially, especially if combination is also allowed. Throw in rounding on top of all of this and you've got yourself a solution celebration similar to the ball drop in Time Square.



                      Since rounding is allowed, but the rest are not; I can promise that there are at least 2 solutions:




                      $(4 + 10)(6 - 2)(5 / 3) = 93$
                      $(10 + 4)(6 - 2)(5 / 3) = 93$






                      share














                      Without doing any of the following, there are no solutions.



                      • Combining numbers.

                      • Reusing numbers.

                      • Rotating numbers.

                      • Rounding.

                      When allowing numbers to be combined, there are thousands of solutions given that:




                      There are 6 numbers, and this means there are 7 basic representations of combinations for each number, for example:
                      $2, 22, 23, 24, 25, 26, 210$.


                      However, if you go even further; you can create roughly 36 combinations for each number if you limit yourself to only a single repetition in a single combination.




                      When rotating numbers is allowed, this number of solutions increases substantially, especially if combination is also allowed. Throw in rounding on top of all of this and you've got yourself a solution celebration similar to the ball drop in Time Square.



                      Since rounding is allowed, but the rest are not; I can promise that there are at least 2 solutions:




                      $(4 + 10)(6 - 2)(5 / 3) = 93$
                      $(10 + 4)(6 - 2)(5 / 3) = 93$







                      share













                      share


                      share








                      edited 20 secs ago

























                      answered 9 mins ago









                      PerpetualJ

                      2,263228




                      2,263228











                      • @RobertS. Sorry, I was still updating my answer.
                        – PerpetualJ
                        6 secs ago
















                      • @RobertS. Sorry, I was still updating my answer.
                        – PerpetualJ
                        6 secs ago















                      @RobertS. Sorry, I was still updating my answer.
                      – PerpetualJ
                      6 secs ago




                      @RobertS. Sorry, I was still updating my answer.
                      – PerpetualJ
                      6 secs ago










                      Excited Raichu is a new contributor. Be nice, and check out our Code of Conduct.









                       

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