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    Question

    The sum of the present ages of a mother and her daughter

    is 52 years. Four years ago, the mother was three times as old as her daughter. What is the daughter’s present age?
    A 10 ys Correct Answer Incorrect Answer
    B 18 ys Correct Answer Incorrect Answer
    C 21 yrs Correct Answer Incorrect Answer
    D 15 yrs Correct Answer Incorrect Answer

    Solution

    ATQ, Let present age of daughter = d Present age of mother = m Given: m + d = 52 ...(1) Four years ago: Mother’s age = m − 4 Daughter’s age = d − 4 Given: m − 4 = 3(d − 4) m − 4 = 3d − 12 m = 3d − 8 ...(2) From (1): m + d = 52 Substitute m from (2): (3d − 8) + d = 52 4d − 8 = 52 4d = 60 d = 15 So daughter’s present age = 15 years.

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