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    Question

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

    If 15 years hence from now, β€˜B’ will be 14 years younger than β€˜A’, then find the sum of present ages of β€˜A’ and β€˜B’.
    A 106 years Correct Answer Incorrect Answer
    B 136 years Correct Answer Incorrect Answer
    C 120 years Correct Answer Incorrect Answer
    D 126 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 + 15) + 14 = (1.25x + 15) Or, x + 29 = 1.25x + 15 Or, 14 = 0.25x Or, x = 56 So, present age of β€˜B’ = 56 years And, present age of β€˜A’ = 56 + 14 = 70 years Required sum = 56 + 70 = 126 years

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