If \(x\) and \(y\) are integers and \(x<y,\) what is the value of \(x+y?\)

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If \(x\) and \(y\) are integers and \(x<y,\) what is the value of \(x+y?\)

(1) \(x^y = 4\)
(2) \(|x| = |y|\)

Answer: D

Source: Manhattan GMAT