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    Question

    Present average of age of A and B is (12x-8) years.

    Present average age of A, B and C is (8x+3) years. If present age of B is 20% less than the present age of C and 25% more than the present age of A, then find the present age of A.
    A 25 years Correct Answer Incorrect Answer
    B 28.8 years Correct Answer Incorrect Answer
    C 19.2 years Correct Answer Incorrect Answer
    D 16 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Sum of the present age of A and B = 2 × (12x – 8) = 24x – 16 years Sum of the present age of A, B and C = 3 × (8x + 3) = 24x + 9 years So, the present age of C = 24x + 9 – 24x + 16 = 25 years Present age of B = 25 × (80/100) = 20 years Present age of A = (20/125) × 100 = 16 years

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