SOLUTION: find two even integers whose sum is not a multiple of 4

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Question 401036: find two even integers whose sum is not a multiple of 4
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
This is more logic than Math.

Multiples of 4 are all 4 apart from each other: 4, 8, 12, 16, etc.
Even integers are two apart from each other: 2, 4, 6, 8, etc

So as long as we pick even integers that are just two apart then their sum cannot be a multiple of 4. For example 2 and 4 are two apart and their sum, 6, is not a multiple of 4.

We could also pick even integers that are 6 part, 10 apart, etc. So there are an infinite number of pairs of even numbers whose sum is not a multiple of 4.