9 odd numbers whose sum is 100?

ANSWER: There do not exist 9 odd numbers that will workAny odd number of odd number must be odd and 100 is even. Here is an easy way to see this. Take any odd number of odd numbers, say 9 of them. Now, pair them up by twos. so we have 4 pairs of two. Any two odd numbers will add up to an even number. But since we have an odd number of them we have one left over. Now an odd plus and even is always an odd. So odd number of odds is odd!