1. The problem statement, all variables and given/known data The original statement is Prove that if xy and x+y are even then both x and y are even. 2. Relevant equations 3. 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?