If \(x\) and \(y\) are positive integers does \(x\) equal to \(y?\)

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If \(x\) and \(y\) are positive integers does \(x\) equal to \(y?\)

(1) The sum of the greatest common divisor of \(x\) and \(y\) and the least common multiple of \(x\) and \(y\) equals to the sum of \(x\) and \(y.\)
(2) The greatest common divisor of \(x\) and \(y\) equals to the least common multiple of \(x\) and \(y.\)

Answer: B

Source: GMAT Club Tests
Source: — Data Sufficiency |