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    Question

    The age ratio of 'P' and 'Q' 4 years ago was 7:6

    respectively. 12 years from now, the ratio of their ages will be 11:10 respectively. What is the present age of 'Q'?
    A 28 yrs Correct Answer Incorrect Answer
    B 10 yrs Correct Answer Incorrect Answer
    C 30 yrs Correct Answer Incorrect Answer
    D 17 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    4 years ago, let the age of 'P' and 'Q' be 7x years and 6x years respectively12 years hence,

    Age of 'P' = 7x + 4 + 12 = (7x + 16) years

    Age of 'Q' = 6x + 4 + 12 = (6x + 16) years

    ATQ,

    (7x + 16) / (6x + 16) = 11 / 10

    ⇒ 70x + 160 = 66x + 176

    ⇒ 4x = 16

    ⇒ x = 4

    So, required age = 6 × 4 + 4 = 28 years

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