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## Related Questions

###### Asked in Math and Arithmetic

### Can 5 odd numbers that if you add them make 32?

No.
The sum of two odd numbers or two even numbers is an even
number.
The sum of an even number and an odd number is an odd
number.
The sum of 5 odd numbers is:
((odd + odd) + (odd + odd)) + odd = (even + even) + odd
= even + odd
= odd
But 32 is an even number, therefore it cannot be the sum of 5
odd numbers.

###### Asked in Mathematical Finance, Linear Algebra

### How can you divide oddly 18 cows in 9 parts?

Here is one possible way:
2 * 1.25
2 * 1.5
5 * 2.5
It is a very odd way of doing it because, in so doing, none of
the cows will remain alive.
Suppose you could partition the 18 cows into 9 odd groups.
Now, Odd + Odd = Even
Even + Even = Even
and
Even + Odd = Odd
So, Odd + Odd + Odd + Odd + Odd + Odd + Odd + Odd + Odd = 18
=> Even + Even + Even + Even + Odd = 18
=> Even + Even + Odd = 18
=> Even + Odd = 18
=> Odd = 18 which is false.
Therefore, it is impossible to partition 18 cows into 9 odd
groups.