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    Question

    Four years ago, the ratio of ages of 'P' and 'Q' was 5:6.

    Six years from now, their ages will be in the ratio 7:8. Find the present age of 'Z' who is 4 years younger than 'Q'.
    A 18 yrs Correct Answer Incorrect Answer
    B 24 yrs Correct Answer Incorrect Answer
    C 59 yrs Correct Answer Incorrect Answer
    D 30 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the age of 'P' and 'Q', four years ago be '5a' and '6a' years, respectively.

    So, (5a + 4 + 6) : (6a + 4 + 6) = 7 : 8

    Or, 8 × (5a + 10) = 7 × (6a + 10)

    Or, 40a + 80 = 42a + 70

    Or, 2a = 10

    So, a = 5

    Required age = 6 × 5 + 4 - 4 = 30 years

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