SOLUTION: What is the counter example of "The sum of any 2 odd numbers is even?"

Question 207719: What is the counter example of "The sum of any 2 odd numbers is even?"
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
There's a problem with your question. There are no counter examples to prove the statement "The sum of any 2 odd numbers is even" wrong.

It turns out that any odd number can be written in the form where 'x' is a whole number. Now let's say we have two odd numbers and where 'a' and 'b' are whole numbers. If we add them up, we get: where

Now because even numbers fit the form , where 'x' is a whole number, this means that is an even number (since 'k' is a whole number).

So it turns out that the sum of ANY two odd numbers is ALWAYS even. This is why no counter examples are possible.
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