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    Question

    Present ages of P and Q are in the ratio 2:3 respectively. If Q’s age, 8 years hence from now will be 2 times of P’s age, 6 years ago from now, then find the present age of Q.

    A 40 years Correct Answer Incorrect Answer
    B 52 years Correct Answer Incorrect Answer
    C 60 years Correct Answer Incorrect Answer
    D 65 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the present ages of P and Q be 2x and 3x years respectively. According to the question, => (3x + 8) = 2 × (2x – 6) => 3x + 8 = 4x – 12 => x = 20 Therefore, the present age of Q = 3x = 60 years

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