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    Question

    The current age ratio of A to B is 9:8. The ratio of

    A’s age 12 years later to B’s age 15 years earlier is 2:1. If C’s present age is 50% less than the combined present ages of A and B, find C’s age now.
    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 9x and 8x years. (9x + 12)/(8x - 15) = 2/1 ⇒ 9x + 12 = 16x - 30 ⇒ 7x = 42 ⇒ x = 6 Sum = 9x + 8x = 17x = 102 Therefore, C = 0.50 × 102 = 51 years

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