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Did Grandpa count correctly? Another Grandpa Mystery
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Grandpa just returned from a long trip. He started telling me about his adventure in a wild place.
" I saw animals", he said. "Three different kind"
"Just for fun I counted their limbs"
"You mean legs" I interrupted
" Yeah whatever. There were 26 total animals of 3 different kind. And
I counted 26 legs for the 26 animals.
The total number of first kind of animal was 8 times the second kind
and 2 times the third kind.
Can you guess what kind of animals I saw and how many of each were
there?
And where was I?
By the way, there were no one legged or disabled animals there, just to
be clear
Did he count correctly?
riddle mathematics no-computers
asked 3 hours ago
DEEM
3,9801075
add a comment |Â
up vote
4
down vote
favorite
Grandpa just returned from a long trip. He started telling me about his adventure in a wild place.
" I saw animals", he said. "Three different kind"
"Just for fun I counted their limbs"
"You mean legs" I interrupted
" Yeah whatever. There were 26 total animals of 3 different kind. And
I counted 26 legs for the 26 animals.
The total number of first kind of animal was 8 times the second kind
and 2 times the third kind.
Can you guess what kind of animals I saw and how many of each were
there?
And where was I?
By the way, there were no one legged or disabled animals there, just to
be clear
Did he count correctly?
riddle mathematics no-computers
asked 3 hours ago
DEEM
3,9801075
add a comment |Â
up vote
4
down vote
favorite
up vote
4
down vote
favorite
Grandpa just returned from a long trip. He started telling me about his adventure in a wild place.
" I saw animals", he said. "Three different kind"
"Just for fun I counted their limbs"
"You mean legs" I interrupted
" Yeah whatever. There were 26 total animals of 3 different kind. And
I counted 26 legs for the 26 animals.
The total number of first kind of animal was 8 times the second kind
and 2 times the third kind.
Can you guess what kind of animals I saw and how many of each were
there?
And where was I?
By the way, there were no one legged or disabled animals there, just to
be clear
Did he count correctly?
riddle mathematics no-computers
asked 3 hours ago
DEEM
3,9801075
Grandpa just returned from a long trip. He started telling me about his adventure in a wild place.
" I saw animals", he said. "Three different kind"
"Just for fun I counted their limbs"
"You mean legs" I interrupted
" Yeah whatever. There were 26 total animals of 3 different kind. And
I counted 26 legs for the 26 animals.
The total number of first kind of animal was 8 times the second kind
and 2 times the third kind.
Can you guess what kind of animals I saw and how many of each were
there?
And where was I?
By the way, there were no one legged or disabled animals there, just to
be clear
Did he count correctly?
riddle mathematics no-computers
riddle mathematics no-computers
asked 3 hours ago
DEEM
3,9801075
asked 3 hours ago
DEEM
3,9801075
asked 3 hours ago
DEEM
3,9801075
asked 3 hours ago
DEEM
3,9801075
asked 3 hours ago
DEEM
3,9801075
3,9801075
add a comment |Â
add a comment |Â
2 Answers
2
active
oldest
votes
up vote
2
down vote
Ok, so he said he counted 26 animals
We have that
• number of type 1 = n
• number of type 2 = n/8
• number of type 3 = n/2
n + n/8 + n/2 = 26, therefore n = 16
so he saw:
• 16 of type 1
• 2 of type 2
• 8 of type 3
But what were they?
He saw 16 type 1's, and saw no one legged animals; if type 1 had 2 legs, the minimum allowable, he'd have seen 32 limbs; too many already. So, type 1 has no legs, must be a snake or fish.
from that we have
(2*x)+(8*y) = 26. Logical numbers are 2 and 4; lets plug them in: 2*4 + 8*2 = 24 thats too low; but if we add 2 legs to either we blow it out...
but he originally said
limbs, so thats not necessarily in pairs... 2*5 + 8*2 is just right
Thus, he saw
16 snakes, fish or other zero-limbed creatures
2 five-limbed creatures. I'm going with starfish, but spider-monkeys with prehensile tails could be another contender
8 two-limbed creatures, this could be anything; flamingoes, chickens etc.
answered 3 hours ago
crcroberts
1,175915
thanks el-guest; man i'm struggling with spoilerised paragraphs; what a pain!
– crcroberts
3 hours ago
add a comment |Â
up vote
1
down vote
Well, I'd say Grandpa was in
Australia
And he saw
16, 8 and 2 animals of three types. Why?
assume the least number was 1. That makes the largest number 8 and the middle 4. That's 13, so we should double each number for 16, 8, 2.
Of which
the 16 can't have two legs (more than 26) and no one legged animals, so they have 0 legs (snakes?)
The 8 can't have 3 legs, because the 2 would have to be one legged, so the 8 have 2 legs/limbs. This could be a wingless bird like a Kiwi. (ok, it has wings but they are so small they are invisible and Grandpa wouldn't have seen them)
The 2 have 5 limbs, therefore. Which a Kangaroo is considered to have, counting it's tail (hence Australia)
answered 3 hours ago
SteveV
2,669216
add a comment |Â
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
2
down vote
Ok, so he said he counted 26 animals
We have that
• number of type 1 = n
• number of type 2 = n/8
• number of type 3 = n/2
n + n/8 + n/2 = 26, therefore n = 16
so he saw:
• 16 of type 1
• 2 of type 2
• 8 of type 3
But what were they?
He saw 16 type 1's, and saw no one legged animals; if type 1 had 2 legs, the minimum allowable, he'd have seen 32 limbs; too many already. So, type 1 has no legs, must be a snake or fish.
from that we have
(2*x)+(8*y) = 26. Logical numbers are 2 and 4; lets plug them in: 2*4 + 8*2 = 24 thats too low; but if we add 2 legs to either we blow it out...
but he originally said
limbs, so thats not necessarily in pairs... 2*5 + 8*2 is just right
Thus, he saw
16 snakes, fish or other zero-limbed creatures
2 five-limbed creatures. I'm going with starfish, but spider-monkeys with prehensile tails could be another contender
8 two-limbed creatures, this could be anything; flamingoes, chickens etc.
answered 3 hours ago
crcroberts
1,175915
thanks el-guest; man i'm struggling with spoilerised paragraphs; what a pain!
– crcroberts
3 hours ago
add a comment |Â
up vote
2
down vote
Ok, so he said he counted 26 animals
We have that
• number of type 1 = n
• number of type 2 = n/8
• number of type 3 = n/2
n + n/8 + n/2 = 26, therefore n = 16
so he saw:
• 16 of type 1
• 2 of type 2
• 8 of type 3
But what were they?
He saw 16 type 1's, and saw no one legged animals; if type 1 had 2 legs, the minimum allowable, he'd have seen 32 limbs; too many already. So, type 1 has no legs, must be a snake or fish.
from that we have
(2*x)+(8*y) = 26. Logical numbers are 2 and 4; lets plug them in: 2*4 + 8*2 = 24 thats too low; but if we add 2 legs to either we blow it out...
but he originally said
limbs, so thats not necessarily in pairs... 2*5 + 8*2 is just right
Thus, he saw
16 snakes, fish or other zero-limbed creatures
2 five-limbed creatures. I'm going with starfish, but spider-monkeys with prehensile tails could be another contender
8 two-limbed creatures, this could be anything; flamingoes, chickens etc.
answered 3 hours ago
crcroberts
1,175915
thanks el-guest; man i'm struggling with spoilerised paragraphs; what a pain!
– crcroberts
3 hours ago
add a comment |Â
up vote
2
down vote
up vote
2
down vote
Ok, so he said he counted 26 animals
We have that
• number of type 1 = n
• number of type 2 = n/8
• number of type 3 = n/2
n + n/8 + n/2 = 26, therefore n = 16
so he saw:
• 16 of type 1
• 2 of type 2
• 8 of type 3
But what were they?
He saw 16 type 1's, and saw no one legged animals; if type 1 had 2 legs, the minimum allowable, he'd have seen 32 limbs; too many already. So, type 1 has no legs, must be a snake or fish.
from that we have
(2*x)+(8*y) = 26. Logical numbers are 2 and 4; lets plug them in: 2*4 + 8*2 = 24 thats too low; but if we add 2 legs to either we blow it out...
but he originally said
limbs, so thats not necessarily in pairs... 2*5 + 8*2 is just right
Thus, he saw
16 snakes, fish or other zero-limbed creatures
2 five-limbed creatures. I'm going with starfish, but spider-monkeys with prehensile tails could be another contender
8 two-limbed creatures, this could be anything; flamingoes, chickens etc.
answered 3 hours ago
crcroberts
1,175915
Ok, so he said he counted 26 animals
We have that
• number of type 1 = n
• number of type 2 = n/8
• number of type 3 = n/2
n + n/8 + n/2 = 26, therefore n = 16
so he saw:
• 16 of type 1
• 2 of type 2
• 8 of type 3
But what were they?
He saw 16 type 1's, and saw no one legged animals; if type 1 had 2 legs, the minimum allowable, he'd have seen 32 limbs; too many already. So, type 1 has no legs, must be a snake or fish.
from that we have
(2*x)+(8*y) = 26. Logical numbers are 2 and 4; lets plug them in: 2*4 + 8*2 = 24 thats too low; but if we add 2 legs to either we blow it out...
but he originally said
limbs, so thats not necessarily in pairs... 2*5 + 8*2 is just right
Thus, he saw
16 snakes, fish or other zero-limbed creatures
2 five-limbed creatures. I'm going with starfish, but spider-monkeys with prehensile tails could be another contender
8 two-limbed creatures, this could be anything; flamingoes, chickens etc.
answered 3 hours ago
crcroberts
1,175915
edited 3 hours ago
answered 3 hours ago
crcroberts
1,175915
answered 3 hours ago
crcroberts
1,175915
answered 3 hours ago
crcroberts
1,175915
1,175915
thanks el-guest; man i'm struggling with spoilerised paragraphs; what a pain!
– crcroberts
3 hours ago
add a comment |Â
thanks el-guest; man i'm struggling with spoilerised paragraphs; what a pain!
– crcroberts
3 hours ago
thanks el-guest; man i'm struggling with spoilerised paragraphs; what a pain!
– crcroberts
3 hours ago
thanks el-guest; man i'm struggling with spoilerised paragraphs; what a pain!
– crcroberts
3 hours ago
add a comment |Â
up vote
1
down vote
Well, I'd say Grandpa was in
Australia
And he saw
16, 8 and 2 animals of three types. Why?
assume the least number was 1. That makes the largest number 8 and the middle 4. That's 13, so we should double each number for 16, 8, 2.
Of which
the 16 can't have two legs (more than 26) and no one legged animals, so they have 0 legs (snakes?)
The 8 can't have 3 legs, because the 2 would have to be one legged, so the 8 have 2 legs/limbs. This could be a wingless bird like a Kiwi. (ok, it has wings but they are so small they are invisible and Grandpa wouldn't have seen them)
The 2 have 5 limbs, therefore. Which a Kangaroo is considered to have, counting it's tail (hence Australia)
answered 3 hours ago
SteveV
2,669216
add a comment |Â
up vote
1
down vote
Well, I'd say Grandpa was in
Australia
And he saw
16, 8 and 2 animals of three types. Why?
assume the least number was 1. That makes the largest number 8 and the middle 4. That's 13, so we should double each number for 16, 8, 2.
Of which
the 16 can't have two legs (more than 26) and no one legged animals, so they have 0 legs (snakes?)
The 8 can't have 3 legs, because the 2 would have to be one legged, so the 8 have 2 legs/limbs. This could be a wingless bird like a Kiwi. (ok, it has wings but they are so small they are invisible and Grandpa wouldn't have seen them)
The 2 have 5 limbs, therefore. Which a Kangaroo is considered to have, counting it's tail (hence Australia)
answered 3 hours ago
SteveV
2,669216
add a comment |Â
up vote
1
down vote
up vote
1
down vote
Well, I'd say Grandpa was in
Australia
And he saw
16, 8 and 2 animals of three types. Why?
assume the least number was 1. That makes the largest number 8 and the middle 4. That's 13, so we should double each number for 16, 8, 2.
Of which
the 16 can't have two legs (more than 26) and no one legged animals, so they have 0 legs (snakes?)
The 8 can't have 3 legs, because the 2 would have to be one legged, so the 8 have 2 legs/limbs. This could be a wingless bird like a Kiwi. (ok, it has wings but they are so small they are invisible and Grandpa wouldn't have seen them)
The 2 have 5 limbs, therefore. Which a Kangaroo is considered to have, counting it's tail (hence Australia)
answered 3 hours ago
SteveV
2,669216
Well, I'd say Grandpa was in
Australia
And he saw
16, 8 and 2 animals of three types. Why?
assume the least number was 1. That makes the largest number 8 and the middle 4. That's 13, so we should double each number for 16, 8, 2.
Of which
the 16 can't have two legs (more than 26) and no one legged animals, so they have 0 legs (snakes?)
The 8 can't have 3 legs, because the 2 would have to be one legged, so the 8 have 2 legs/limbs. This could be a wingless bird like a Kiwi. (ok, it has wings but they are so small they are invisible and Grandpa wouldn't have seen them)
The 2 have 5 limbs, therefore. Which a Kangaroo is considered to have, counting it's tail (hence Australia)
answered 3 hours ago
SteveV
2,669216
edited 3 hours ago
answered 3 hours ago
SteveV
2,669216
answered 3 hours ago
SteveV
2,669216
answered 3 hours ago
SteveV
2,669216
2,669216
add a comment |Â
add a comment |Â
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