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    Question

    Determine the average current age of 'A' and 'B', given

    that six years ago, 'A' was 12 years younger than 'B', and twelve years from now, the ratio of their ages will be 3:4.
    A 15 yrs Correct Answer Incorrect Answer
    B 25 yrs Correct Answer Incorrect Answer
    C 30 yrs Correct Answer Incorrect Answer
    D 55 yrs Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    We can say that Let present age of 'A' and 'B' be 'x' years and 'y' years respectively. According to question, (x – 6) = (y – 6) – 12 x = y – 12…………………………….(1) And, (x + 12)/(y + 12) = 3/4 4x + 48 = 3y + 36 Putting value of x from equation (1) 4 × (y – 12) + 48 = 3y + 36 4Y – 48 + 48 = 3y + 36 y = 36 years x = 24 years Desired Average = [(36 + 24)/2] = 30 yrs

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