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    Question

    Ratio of present age of 'A' to that of 'B' is 1:2. If

    the age of 'B' six years ago was 10 years, then after how many years, the ratio of the age of 'B' to that of 'A' will become 5:4?
    A 16 Correct Answer Incorrect Answer
    B 18 Correct Answer Incorrect Answer
    C 20 Correct Answer Incorrect Answer
    D 22 Correct Answer Incorrect Answer
    E 24 Correct Answer Incorrect Answer

    Solution

    Let the present ages of 'A' and 'B' be '1m' and '2m' years respectively.

    So, 2m − 6 = 10

    Or, 2m = 16

    So, 'm' = 8

    Present age of 'A' = 1m = 8 years
    Present age of 'B' = 2m = 16 years

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

    So, (8 + n) : (16 + n) = 4 : 5

    Or, 5 × (8 + n) = 4 × (16 + n)

    Or, 40 + 5n = 64 + 4n

    So, 'n' = 24

    Hence, option E.

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