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    Question

    Currently, the ages of 'P' and 'Q' are in the ratio of

    4:9. 'Y' years in the past, the ratio of their ages was 1:3. Three years from now, 'P' will be half as old as 'Q' is today. Determine the value of 'Y'.
    A 9 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 10 Correct Answer Incorrect Answer
    D 6 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the present ages of 'P' and 'Q' be '4x' years and '9x' years, respectively. ATQ: 4x + 3 = 9x ÷ 2 Or, 8x + 6 = 9x So, 'x' = 6 Present age of 'P' = 4x = 4 X 6 = 24 years And present age of 'Q' = 9x = 9 X 6 = 54 years ATQ; {(24 - Y) /(54 - Y) } = (1/3) Or, 72 - 3Y = 54 - Y Or, 18 = 2Y So, 'Y' = 9

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