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    Question

    Eight years ago, the ratio of ages of 'L' and 'M' was 5:6.

    Ten years from now, their ages will be in the ratio 7:8. Find the present age of 'T' who is 4 years younger than 'M'.
    A 41 yrs Correct Answer Incorrect Answer
    B 27 yrs Correct Answer Incorrect Answer
    C 58 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 'L' and 'M', eight years ago be '5a' and '6a' years, respectively.

    So, (5a + 8 + 10) : (6a + 8 + 10) = 7 : 8

    Or, 8 × (5a + 18) = 7 × (6a + 18)

    Or, 40a + 144 = 42a + 126

    Or, 2a = 18

    So, a = 9

    Required age = 6 × 9 + 8 - 4 = 58 years

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