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    Question

    Present age of β€˜D’ is 45% more than that of β€˜E’.

    9 years ago, β€˜D’ was 1.75 times as old as β€˜E’. Find the present age of β€˜E’.
    A 18 years Correct Answer Incorrect Answer
    B 17.5 years Correct Answer Incorrect Answer
    C 21 years Correct Answer Incorrect Answer
    D 22.5 years Correct Answer Incorrect Answer

    Solution

    Let the present age of β€˜E’ be β€˜x’ years
    Therefore, present age of β€˜D’ = 1.45x years
    ATQ;
    (1.45x – 9) = 1.75 Γ— (x – 9)
    Or, 1.45x – 9 = 1.75x – 15.75
    Or, 6.75 = 0.3x
    Or, x = 22.5
    Therefore, present age of β€˜E’ = 22.5 years

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