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    Question

    Present age of β€˜A’ is 25% more than that of β€˜B’.

    If 16 years hence from now, β€˜B’ will be 9 years younger than β€˜A’, then find the sum of present ages of β€˜A’ and β€˜B’.
    A 81 years Correct Answer Incorrect Answer
    B 71 years Correct Answer Incorrect Answer
    C 65 years Correct Answer Incorrect Answer
    D 91 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let present age of β€˜B’ be β€˜x’ years Present age of β€˜A’ = x Γ— 1.25 = β€˜1.25x’ years ATQ; (x + 16) + 9 = (1.25x + 16) Or, x + 25 = 1.25x + 16 Or, 9 = 0.25x Or, x = 36 So, present age of β€˜B’ = 36 years And, present age of β€˜A’ = 36 + 9 = 45 years Required sum = 36 + 45 = 81 years

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