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    Question

    Ratio of present age of 'A' to that of 'B' is 3:5. If

    the age of 'A' four years ago was 11 years, then after how many years, the ratio of the age of 'B' to that of 'A' will become 5:4?
    A 20 Correct Answer Incorrect Answer
    B 22 Correct Answer Incorrect Answer
    C 24 Correct Answer Incorrect Answer
    D 25 Correct Answer Incorrect Answer
    E 28 Correct Answer Incorrect Answer

    Solution

    Let the present ages of 'A' and 'B' be '3m' and '5m' years respectively.

    So, 3m − 4 = 11

    Or, 3m = 15

    So, 'm' = 5

    Present age of 'A' = 3m = 15 years
    Present age of 'B' = 5m = 25 years

    Let ratio of the ages of 'B' to 'A' becomes 5:4 after 'n' years.

    So, (15 + n) : (25 + n) = 4 : 5

    Or, 5 × (15 + n) = 4 × (25 + n)

    Or, 75 + 5n = 100 + 4n

    So, 'n' = 25

    Hence, option D.

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