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    Question

    Five years ago, the ratio of age of 'A' to 'B' was 4:5.

    After ten years, the ratio of age of 'A' to 'B' will be 7:8. Find the current age of 'C' who is 6 years younger than 'B'.
    A 18 yrs Correct Answer Incorrect Answer
    B 24 yrs Correct Answer Incorrect Answer
    C 28 yrs Correct Answer Incorrect Answer
    D 32 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 + 10) : (5a + 5 + 10) = 7:8

    Or, 8 × (4a + 15) = 7 × (5a + 15)

    Or, 32a + 120 = 35a + 105

    Or, 3a = 15

    So, a = 5

    Required age = 5 × 5 + 5 - 6 = 24 years

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