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      Question

      The ratio of the present ages of ‘A’ and ‘B’ is

      8:3. If the present age of ‘B’ had been 10 years more, then his present age would have been 50% less than that of ‘A’. Find the ratio of the ages of ‘A’ and ‘B’, 10 years hence from now.
      A 13:6 Correct Answer Incorrect Answer
      B 9:4 Correct Answer Incorrect Answer
      C 11:5 Correct Answer Incorrect Answer
      D 12:7 Correct Answer Incorrect Answer

      Solution

      Let the present age of ‘A’ and ‘B’ be 8x and 3x, respectively. According to the question, 0.5 × 8x = 3x + 10 Or, 4x – 3x = 10 Or, x = 10 Therefore,
      Age of ‘A’, 10 years hence = 8x + 10 = 80 + 10 = 90 years
      Age of ‘B’, 10 years hence = 3x + 10 = 30 + 10 = 40 years Required ratio = 90:40 = 9:4

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