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Re: If (x + y)/(x − y) = 3 and x and y are integers, then which one of the
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17 Jun 2017, 06:02

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Bunuel wrote:

If \(\frac{x + y}{x − y} = 3\) and x and y are integers, then which one of the following must be true?

(A) x is divisible by 4 (B) y is an odd number (C) y is an even integer (D) x is an even number (E) x is an irreducible fraction

\(\frac{x + y}{x − y} = 3\) x + y = 3x - 3y 2x = 4y x = 2y

(A) x is divisible by 4 - Not necessarily true (B) y is an odd number - Not necessarily true. Y could be either odd or even (C) y is an even integer - Not necessarily true. Y could be either odd or even (D) x is an even number - True since Y is multiplied by an even no (E) x is an irreducible fraction - Not correct

Hence Answer D
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