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    Question

    A and B are at present in the ratio 10:7. The ratio of A

    after 30 years to B 9 years ago equals 5:1. If C’s present age is 33⅓% less than (A+B) now, calculate C’s current age.
    A 24 yrs Correct Answer Incorrect Answer
    B 34 yrs Correct Answer Incorrect Answer
    C 44 yrs Correct Answer Incorrect Answer
    D 27 yrs Correct Answer Incorrect Answer

    Solution

    ATQ, Let present ages of A and B be 10x and 7x years. (10x + 30)/(7x - 9) = 5/1 ⇒ 10x + 30 = 35x - 45 ⇒ 25x = 75 ⇒ x = 3 Sum = 10x + 7x = 17x = 51 Therefore, C = (2/3) × 51 = 34 years

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