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## Homework Statement

The original statement is Prove that if xy and x+y are even then both x and y are even.

## Homework Equations

## The Attempt at a Solution

I think it goes like "If x or y is odd then xy and x+y are odd"? I'm not too sure though because the first "and" in the hypothesis is confusing. I'm not sure if its supposed to go like"If x or y is odd then xy or x+y is odd?