Consider the following conjecture: the sum of two even numbers will be even.

Question

A.) Prove the conjecture

Answer 1

To be even, you have to be divisible by 2.

x/2 + y/2 =( x + y)/2

even numbers have a difference of 2.

n + n + 2 = 2n +2 which is divisible by 2

or something like

n+2 + n+4 = 2n+6 again divisible by 2.