Question

    Twelve years from now, the combined ages of A and B

    will be 94 years. Eight years ago, the ratio of the total of A and B's ages to the age of C was 3:2. Find the current age of C.
    A 36 years Correct Answer Incorrect Answer
    B 44 years Correct Answer Incorrect Answer
    C 32 years Correct Answer Incorrect Answer
    D 28 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let present age of A, B and C is ‘x’ years, ‘y’ years and ‘z’ years. So, x + 12 + y + 12 = 94 So, x + y = 70 Sum of ages of A and C 8 years ago = 70 – 8 × 2 = 54 years Age of C, 8 years ago = 54/3 × 2 = 36 years Present age of C = 36 + 8 = 44 years

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