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      Question

      Present ages of ‘A’, ‘B’ and ‘C’ are in the

      ratio 8:12:17, respectively. If present average age of ‘A’ and ‘C’ is 25 years, then find the age of ‘B’ when ‘C’ was 24 years old?
      A 10 years Correct Answer Incorrect Answer
      B 12 years Correct Answer Incorrect Answer
      C 14 years Correct Answer Incorrect Answer
      D 13 years Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the present ages of ‘A’, ‘B’ and ‘C’ be ‘8x’ years, ‘12x’ years and ‘17x’ years, respectively. ATQ; (17x + 8x) ÷ 2 = 25 Or, 25x = 50 So, x = 2 So, present age of ‘C’ = 17 × 2 = 34 years Present age of ‘B’ = 12 × 2 = 24 years Difference between the ages of ‘B’ and ‘C’ = 34 – 24 = 10 years So, age of ‘B’ when ‘C’ was 24 years old = 24 – 10 = 14 years

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