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      Question

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

      ratio 7:5:8, respectively. If present average age of ‘A’ and ‘C’ is 30 years, then find the age of ‘B’ when ‘C’ was 26 years old?
      A 10 years Correct Answer Incorrect Answer
      B 17 years Correct Answer Incorrect Answer
      C 13 years Correct Answer Incorrect Answer
      D 14 years Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the present ages of ‘A’, ‘B’ and ‘C’ be ‘7x’ years, ‘5x’ years and ‘8x’ years, respectively. ATQ; (8x + 7x) ÷ 2 = 30 Or, 15x = 60 So, x = 4 So, present age of ‘C’ = 8 × 4 = 32 years Present age of ‘B’ = 5 × 4 = 32 years Difference between the ages of ‘B’ and ‘C’ = 32 – 20 = 12 years So, age of ‘B’ when ‘C’ was 26 years old = 26 – 12 = 14 years

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