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    Question

    The ratio of Sohan’s age 6 years ago to Meera’s age

    6 years hence is 3:7. If the average of their present ages is 50 years, what is the difference between their present ages?
    A 15 yrs Correct Answer Incorrect Answer
    B 28 yrs Correct Answer Incorrect Answer
    C 12 yrs Correct Answer Incorrect Answer
    D 10 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Given Data: Ratio of Sohan’s age 6 years ago to Meera’s age 6 years hence = 3:7 Average of their present ages = 50 years

    Form Equations: From ratio: From average:

    Solve for S and M: From Eq. 2: M = 100 − S, substitute in Eq. 1

    So, M = 100 − 36 = 64 Hence, the Age Difference = M − S = 64 − 36 = 28

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