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    Question

    Present ages of P and Q are in the ratio 2:7

    respectively. If Q’s age, 15 years hence from now will be 6 times of P’s age, 5 years ago from now, then find the present age of Q.
    A 55 years Correct Answer Incorrect Answer
    B 74 years Correct Answer Incorrect Answer
    C 63 years Correct Answer Incorrect Answer
    D 40 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 7x years respectively. According to the question, => (7x + 15) = 6 × (2x – 5) => 7x + 15 = 12x – 30 => 5x = 45 => x = 9 Therefore, the present age of Q = 7x = 63 years

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