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    Question

    The average age of A, B and C is 28 years, while the

    average age of B, A and D is 26 years. If the ratio of the age of C and D is 5:3, respectively, then find the age of D.
    A 12 years. Correct Answer Incorrect Answer
    B 8 years. Correct Answer Incorrect Answer
    C 9 years. Correct Answer Incorrect Answer
    D 15 years. Correct Answer Incorrect Answer

    Solution

    Sum of ages of A, B and C = 28 × 3 = 84 years Sum of ages of B, A and D = 26 × 3 = 78 years So, C – D = 84 – 78 = 6 years Let the age of C and D be 5x and 3x years, respectively. 5x – 3x = 6 2x = 6 x = 3 So, age of D = 3x = 9 years.

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