Question 252423: 1+3+5+7+9+11+13+15+17+19=100 now pick any 5 digits which make the sum of 50 ?
Answer by drk(1908)   (Show Source):
You can put this solution on YOUR website! You can see we are adding a set of 10 odd numbers together. 10 odd numbers added together make an even number.
A quick review:
odd + odd = even
odd + odd + odd = odd
odd + odd + odd + odd = even
So, very quickly you can see if we add an odd number of odds, we get odd. Now, the question I believe wants you to add 5 odds to get 50. There is no way this can happen.
Don't know if you need a proof of this . . .
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