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    Question

    Twelve years ago, the age ratio between 'A' and 'B' was

    5:4. In five years, their average age is expected to be 44 years. Determine 'A’s age eight years ago.
    A 36 years Correct Answer Incorrect Answer
    B 42 years Correct Answer Incorrect Answer
    C 32 years Correct Answer Incorrect Answer
    D 34 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    12 years ago from now, let ages of ‘A’ and ‘B’ be ‘5y’ years and ‘4y’ years respectively. ATQ, (5y + 17) + (4y + 17) = 2 × 44 Or, 9y + 34 = 88 Or, 9y = 54 Or, y = 6 So, present ages of ‘A’ = (5y + 12) = (30 + 12) = 42 years Age of ‘A’ 8 years ago from now = (42 – 8) = 34 years.

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