If \(x, y,\) and \(z\) are integers, is \(x + y + 2z\) even?

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If \(x, y,\) and \(z\) are integers, is \(x + y + 2z\) even?

(1) \(x + z\) is even.

(2) \(y + z\) is even.

Answer: C

Source: GMAT Prep