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    Question

    Five years ago, the ratio of ages of 'A' and 'B' was 4:5.

    Seven years from now, their age ratio will be 5:6. Find the present age of 'Y' who is 6 years younger than 'B'.
    A 18 yrs Correct Answer Incorrect Answer
    B 24 yrs Correct Answer Incorrect Answer
    C 59 yrs Correct Answer Incorrect Answer
    D 37 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the age of 'A' and 'B', five years ago be '4a' and '5a' years, respectively.

    So, (4a + 5 + 7) : (5a + 5 + 7) = 5 : 6

    Or, 6 × (4a + 12) = 5 × (5a + 12)

    Or, 24a + 72 = 25a + 60

    Or, a = 12

    Required age = 5 × 12 + 5 - 6 = 59 years

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