Question

    Four years ago, the ages of A and B were in the ratio of

    6:7. Twelve years from now, their ages will be in the ratio of 10:11. Calculate the average of their current ages.
    A 26 years Correct Answer Incorrect Answer
    B 28 years Correct Answer Incorrect Answer
    C 32 years Correct Answer Incorrect Answer
    D 30 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let ages of A and B, four years ago be 6x years and 7x years respectively. According to question; (6x + 16)/(7x + 16) = 10/11 66x + 176 = 70x + 160 4x = 16 x = 4 Average of present ages of A and B = (13 × 4 + 8)/2 = 30 years

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