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    Question

    The present average age of Preti, Purnima and Payal is

    24 years. If Purnima is five years younger to Payal and Preti is five years elder to Payal, then find the age of Preti (in years) nine years ago.
    A 25 years Correct Answer Incorrect Answer
    B 18 years Correct Answer Incorrect Answer
    C 10 years Correct Answer Incorrect Answer
    D 29 years Correct Answer Incorrect Answer
    E 20 years Correct Answer Incorrect Answer

    Solution

    Present age of Preti, Purnima and Payal = 24 × 3 = 72 years Let present age of Purnima  be ‘x’ years. Present age of Payal  = (x + 5) years Present age of Preti  = (x + 10) years According to the question, => (x + 10) + x + (x + 5) = 72 => 3x = 57 => x = 19 Preti’s age 9 years ago = (19 + 10) - 9 = 20 years

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