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kingbucky
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kingbucky
If \(x = y + 3\) and \(x\) is an even integer, which of the following could be the sum of \(x\) and \(y\)?

(A) 121
(B) 132
(C) 144
(D) 150
(E) 156

Similar question: https://gmatclub.com/forum/if-x-y-2-and ... 30388.html
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To solve this question,

In X + Y, substitute X for Y+3

2Y + 3

An integer is a whole number ( can be negative but not in fraction or decimal)

Meaning 2Y + 3 = Z

Plug in the answer choices for Z, but we already know that a

1.Even number - Odd number = Odd

2. Odd - Odd = Even

3. Even - Even = Even

So just find an odd number in the answer choices as we subtracting by 3 which is an odd number meaning the odd number subtract an odd number will result in a even number, which we know is divisible by 2.

Answer A is the only odd number ( ending in 1 ).
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