Answer to Question #143318 in Discrete Mathematics for Christine Joy Sato

Question #143318

The sum of two even numbers is even.
Using Direct proof method

Expert's answer

Let a and b be even numbers.

a = 2*c and b = 2*d for some integers c and d.

a+b = 2*c+2*d = 2*(c+d) = 2*k (where k is also some integer)

So, a+b is even

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