If \(a\) and \(b\) are both single-digit positive integers, is \(a + b\) a multiple of \(3?\)

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If \(a\) and \(b\) are both single-digit positive integers, is \(a + b\) a multiple of \(3?\)

(1) The two-digit number \(ab\) (where \(a\) is in the tens place and \(b\) is in the one's place) is a multiple of \(3.\)

(2) \(a - 2b\) is a multiple of \(3.\)

Answer: D

Source: Manhattan GMAT