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    Question

    Present age of ‘A’ is 40% more than that of ‘B’.

    If 25 years hence from now, ‘B’ will be 15 years younger than ‘A’, then find the sum of present ages of ‘A’ and ‘B’.
    A 90 years Correct Answer Incorrect Answer
    B 80 years Correct Answer Incorrect Answer
    C 95 years Correct Answer Incorrect Answer
    D 60 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let present age of ‘B’ be ‘x’ years Present age of ‘A’ = x × 1.40 = ‘1.40x’ years ATQ; (x + 25) + 15 = (1.40x + 25) Or, x + 40 = 1.40x + 25 Or, 15 = 0.40x Or, x = 37.5 So, present age of ‘B’ = 37.5 years And, present age of ‘A’ = 37.5 + 15 = 52.5 years Required sum = 37.5 + 52.5 = 90 years

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