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    Question

    At present, the ages of ‘T’ and ‘U’ are in the

    ratio 6:7. Eight years from now, the ratio of their ages will become 7:8. What was T’s age 10 years ago?
    A 28 yrs Correct Answer Incorrect Answer
    B 13 yrs Correct Answer Incorrect Answer
    C 38 yrs Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let present ages of T and U be 6x and 7x.

    ATQ:

    (6x + 8)/(7x + 8) = 7/8

    ⇒ 8(6x + 8) = 7(7x + 8)

    ⇒ 48x + 64 = 49x + 56

    ⇒ x = 8

    So, present age of T = 6x = 48 years

    T’s age 10 years ago = 48 – 10 = 38 years

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