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    Question

    A and B are currently in the ratio 7:3. The ratio of A

    after 4 years to B 2 years back is 3:1. C’s present age is 40% less than (A+B) now. Determine C’s present age.
    A 24 yrs Correct Answer Incorrect Answer
    B 30 yrs Correct Answer Incorrect Answer
    C 44 yrs Correct Answer Incorrect Answer
    D 27 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let present ages of A and B be 7x and 3x years. (7x + 4)/(3x - 2) = 3/1 ⇒ 7x + 4 = 9x - 6 ⇒ 2x = 10 ⇒ x = 5 Sum = 7x + 3x = 10x = 50 Therefore, C = 0.60 × 50 = 30 years

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