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    Question

    The present age ratio of A to B is 4:5. After 8 years, the

    ratio of A’s age to P’s age will be 8:13. Additionally, the total of A’s, B’s, and P’s ages four years from now will be 110 years. What is the current age of P?
    A 24 yrs Correct Answer Incorrect Answer
    B 31 yrs Correct Answer Incorrect Answer
    C 16 yrs Correct Answer Incorrect Answer
    D 44 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,


    Let the present age of A and B be 4x and 5x respectively.
    And the present age of P = (4x + 8) * 13/8 – 8 = (52x + 104)/8 – 8 = (52x + 40)/8
    4x + 5x + (52x + 40)/8 = 110 – 4 * 3
    32x + 40x + 52x = 98 * 8 – 40
    124x = 744
    x = 6
    The present age of P = (52 * 6 + 40)/8 = 352/8 = 44 years

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