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    Question

    Five years ago, the ratio of age of ‘A’ to ‘B’ was

    4:5. Seven years from now, their age ratio will be 6:7. Find the present age of ‘Z’, who is 3 years older than ‘A’.
    A 48 yrs Correct Answer Incorrect Answer
    B 60 yrs Correct Answer Incorrect Answer
    C 32 yrs Correct Answer Incorrect Answer
    D 82 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) = 6:7

    Or, 7 × (4a + 12) = 6 × (5a + 12)

    Or, 28a + 84 = 30a + 72

    Or, 2a = 12

    So, ‘a’ = 6

    Required age = 4 × 6 + 5 + 3 = 32 years

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