If \(|x - y| = 8,\) what is the value of \(x + y ?\)

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If \(|x - y| = 8,\) what is the value of \(x + y ?\)

(1) \(x^2 - y^2 = 32\)
(2) \(x + y > 0\)

Answer: C

Source: Princeton Review