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      Question

      Suppose x and y are two positive numbers such that when

      x is reduced by 2 and y is increased by 2, the ratio becomes 2:1; and when x is increased by 2 and y is reduced by 2, the ratio becomes 3:1. Which one of the following is equal to x - y?
      A 20 Correct Answer Incorrect Answer
      B 24 Correct Answer Incorrect Answer
      C 18 Correct Answer Incorrect Answer
      D 22 Correct Answer Incorrect Answer

      Solution

      According to question, => (x – 2)/(y + 2) = 2/1 => x – 2 = 2y + 4 => x – 2y = 6 ------- (i) => (x + 2)/(y - 2) = 3/1 => x + 2 = 3y - 6 => x – 3y = -8 ------- (ii) Solving (i) and (ii) we get, => x = 34 and y = 14 Therefore, x – y = 34 – 14 = 20

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