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    Question

    Present ages of P and Q are in the ratio 5:8

    respectively. If Q’s age, 14 years hence from now will be 4 times of P’s age, 4 years ago from now, then find the present age of Q.
    A 20 years Correct Answer Incorrect Answer
    B 35 years Correct Answer Incorrect Answer
    C 14 years Correct Answer Incorrect Answer
    D 21 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the present ages of P and Q be 5x and 8x years respectively. According to the question, => (8x + 14) = 4 ×  (5x – 4) => 8x + 14 = 20x – 16 => 12x = 30 => x = 2.5 Therefore, the present age of Q = 8x = 20 years

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