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    Question

    Seven years ago, the age ratio of 'F' and 'G' was 2:3. In

    five years, their ages will be in the ratio 3:4. What is the current age of 'V' who is 2 years younger than 'G'?
    A 41 yrs Correct Answer Incorrect Answer
    B 27 yrs Correct Answer Incorrect Answer
    C 53 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 'F' and 'G', seven years ago be '2a' and '3a' years, respectively.

    So, (2a + 7 + 5) : (3a + 7 + 5) = 3 : 4

    Or, 4 × (2a + 12) = 3 × (3a + 12)

    Or, 8a + 48 = 9a + 36

    Or, a = 12

    Required age = 3 × 12 + 7 - 2 = 41 years

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