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    Question

    TYPE 8

    The ratio of the present ages of P and Q is 7:4

    respectively. If the age of P 13 years hence from now will be 125% more than the age of Q 4 years ago from now, then find the age of P 2 years ago from now.
    A 70 years Correct Answer Incorrect Answer
    B 84 years Correct Answer Incorrect Answer
    C 82 years Correct Answer Incorrect Answer
    D 75 years Correct Answer Incorrect Answer
    E 78 years Correct Answer Incorrect Answer

    Solution

    Let the present ages of P and Q be 7x and 4x years respectively. According to the question, => 7x + 13 = 2.25(4x – 4) => 7x + 13 = 9x - 9 => 2x = 22 => x = 11 Required age = 7x – 2 = 75 years

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