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    Question

    Sum of the ages of P, Q and R is 65 years and Q is 2

    years elder than P. If the ratio of the present age of P and R is 2:3, the find the present age of Q?
    A 20 years Correct Answer Incorrect Answer
    B 32 years Correct Answer Incorrect Answer
    C 30 years Correct Answer Incorrect Answer
    D 34 years Correct Answer Incorrect Answer
    E 28 years Correct Answer Incorrect Answer

    Solution

    Let the present age of P and R be 2x and 3x respectively. According to question, => Q – 2x = 2 => Q = 2 + 2x Now, P + Q + R = 65 => 2x + 3x + (2 + 2x) = 65 => 7x = 63 => x = 9 Present age of Q = 2x + 2 = 2 × 9 + 2 = 20 years

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