Math, asked by hariprasad7, 1 year ago

There are 26 goats...u have to keep them in 5 cages. Each cage should have only odd numbers..

Answers

Answered by aryan02p3jd6e
0
It's impossible since the sum of an odd number of odd numbers is always odd.
Consider this:
3 * 2 = 6 (3 + 3; 3 was added twice, so it's even, multiplication by two)
3 * 3 = 9 (3 + 3 + 3; 3 was added thrice, so it's odd)

aryan02p3jd6e: So are there no constraints about cages inside cages?
hariprasad7: what
hariprasad7: no
aryan02p3jd6e: But then it's impossible
aryan02p3jd6e: Because 5 is odd
aryan02p3jd6e: And the sum of an odd number of odd terms is always odd
aryan02p3jd6e: But 26 is even
aryan02p3jd6e: Let a + b + c + d + e = 26
aryan02p3jd6e: Where a, b, c, d and e are natural numbers
aryan02p3jd6e: Then, at least one of them has to be even since 5 is odd and the number of terms is 5
Similar questions