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    Question

    Six years ago, the age ratio of A to B was 5:6. In nine

    years, their age ratio will become 8:9. Determine the difference between their current ages.
    A 12 yrs Correct Answer Incorrect Answer
    B 6 yrs Correct Answer Incorrect Answer
    C 8 yrs Correct Answer Incorrect Answer
    D 5 yrs Correct Answer Incorrect Answer

    Solution

    6 years ago, Let the age of A = 5x years
    Age of B = 6x years
    According to the question,
    (5x + 15):(6x + 15) = 8:9
    45x + 135 = 48x + 120
    x = 5
    Present age of A = 5 × 5 + 6 = 31 years
    Present age of B = 6 × 5 + 6 = 36 years
    Required difference = 36 – 31 = 5 years

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