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    Question

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

    ratio 5:11:13, respectively. If present average age of ‘A’ and ‘C’ is 36 years, then find the age of ‘B’ when ‘C’ was 27 years old?
    A 10 years Correct Answer Incorrect Answer
    B 18 years Correct Answer Incorrect Answer
    C 19 years Correct Answer Incorrect Answer
    D 15 years Correct Answer Incorrect Answer

    Solution

    Let the present ages of ‘A’, ‘B’ and ‘C’ be ‘5x’ years, ‘11x’ years and ‘13x’ years, respectively. ATQ; (13x + 5x) ÷ 2 = 36 Or, 18x = 72 So, x = 4 So, present age of ‘C’ = 13 × 4 = 52 years Present age of ‘B’ = 11 × 4 = 44 years Difference between the ages of ‘B’ and ‘C’ = 52 – 44 = 8 years So, age of ‘B’ when ‘C’ was 27 years old = 27 – 8 = 19 years

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