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      Question

      The ratio of the present ages of P and Q is 7:4. After 8

      years, the ratio of their ages will be 9:6. Find the ratio of their ages 4 years ago.
      A 5:6 Correct Answer Incorrect Answer
      B 1:8 Correct Answer Incorrect Answer
      C 3:4 Correct Answer Incorrect Answer
      D 2:1 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the present ages of P and Q be 7x and 4x years, respectively
      (7x + 8) / (4x + 8) = 9 / 6
      Or, 42x + 48 = 36x + 72
      Or, 6x = 24
      Or, x = 4
      Required ratio = (7x – 4) / (4x – 4) = (28 – 4) : (16 – 4) = 24 : 12 = 2 : 1

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