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      Question

      In 12 years, 'A's age will be three times what it was 20

      years ago. After 12 years, the age ratio between 'A' and 'B' will be 4:5. Currently, the average age of 'A', 'B', and 'C' together is 38 years. Determine the present age of 'C'.
      A 40 years Correct Answer Incorrect Answer
      B 30 years Correct Answer Incorrect Answer
      C 36 years Correct Answer Incorrect Answer
      D 48 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 + 12 Or, 3a – 60 = a + 12 Or, 2a = 72 Or, a = 36 Present age of ‘B’ = 5/4 × {36 + 12} – 12 = 60 – 12 = 48 years Present age of ‘C’ = 38 × 3 – 36 – 48 = 30 years

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