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    Question

    Three years ago, the ratio of ages of 'S' and 'T' was 7:8.

    Seven years from today, their ages will be in the ratio 9:10. What is the present age of 'R', who is 5 years younger than 'T'?
    A 41 yrs Correct Answer Incorrect Answer
    B 27 yrs Correct Answer Incorrect Answer
    C 38 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 'S' and 'T', three years ago be '7a' and '8a' years, respectively.

    So, (7a + 3 + 7) : (8a + 3 + 7) = 9 : 10

    Or, 10 × (7a + 10) = 9 × (8a + 10)

    Or, 70a + 100 = 72a + 90

    Or, 2a = 10

    So, a = 5

    Required age = 8 × 5 + 3 - 5 = 38 years

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