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    Question

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

    ratio 4:7:12, respectively. If present average age of ‘A’ and ‘C’ is 32 years, then find the age of ‘B’ when ‘C’ was 30 years old?
    A 12 years Correct Answer Incorrect Answer
    B 8 years Correct Answer Incorrect Answer
    C 10 years Correct Answer Incorrect Answer
    D 9 years Correct Answer Incorrect Answer

    Solution

    Let the present ages of ‘A’, ‘B’ and ‘C’ be ‘4x’ years, ‘7x’ years and ‘12x’ years, respectively. ATQ; (12x + 4x) ÷ 2 = 32 Or, 16x = 64 So, x = 4 So, present age of ‘C’ = 12 × 4 = 48 years Present age of ‘B’ = 7 × 4 = 28 years Difference between the ages of ‘B’ and ‘C’ = 48 – 28 = 20 years So, age of ‘B’ when ‘C’ was 30 years old = 30 – 20 = 10 years

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