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      Question

      Age of ‘A’ after 8 years will be three time of his

      age 20 years ago. Eight years hence from now, ratio of ages of ‘A’ and ‘B’ will be 2:3, respectively. If present average age of ‘A’, ‘B’ and ‘C’ is 35 years, then find the present age of ‘C’.
      A 12 years Correct Answer Incorrect Answer
      B 14 years Correct Answer Incorrect Answer
      C 16 years Correct Answer Incorrect Answer
      D 18 years Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let present age of ‘A’ be ‘a’ years So, 3(a – 20) = a + 8 Or, 3a – 60 = a + 8 Or, 2a = 68 Or, a = 34 Present age of ‘B’ = 3/2 × {34 + 8} – 8 = 63 – 8 = 55 years Present age of ‘C’ = 35 × 3 – 34 – 55 = 16 years

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