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    Question

    Present ages of P and Q are in the ratio 3:5

    respectively. If Q’s age, 16 years hence from now will be 6 times of P’s age, 6 years ago from now, then find the present age of Q.
    A 10 years Correct Answer Incorrect Answer
    B 20 years Correct Answer Incorrect Answer
    C 30 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 3x and 5x years respectively. According to the question, => (5x + 16) = 6 × (3x – 6) => 5x + 16 = 18x – 36 => 13x = 52 => x = 4 Therefore, the present age of Q = 5x = 20 years

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