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    Question

    The current age ratio of 'P' and 'Q' is 4:7 respectively.

    The ratio of the age of 'P' six years from now and the age of 'Q' six years ago is 5:6 respectively. What will be the age of 'P' three years later?
    A 12 yrs Correct Answer Incorrect Answer
    B 27 yrs Correct Answer Incorrect Answer
    C 18 yrs Correct Answer Incorrect Answer
    D 22 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the present age of 'P' and 'Q' be 4y and 7y years respectively.

    So, (4y + 6) : (7y - 6) = 5 : 6

    Or, 6 × (4y + 6) = 5 × (7y - 6)

    Or, 24y + 36 = 35y - 30

    Or, 11y = 66

    So, y = 6

    Therefore, required age = 4 × 6 + 3 = 27 years

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