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    Question

    Present age of ‘A’ is 60% more than that of ‘B’.

    If 13 years hence from now, ‘B’ will be 12 years younger than ‘A’, then find the sum of present ages of ‘A’ and ‘B’.
    A 52 years Correct Answer Incorrect Answer
    B 50 years Correct Answer Incorrect Answer
    C 53 years Correct Answer Incorrect Answer
    D 56 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 × 1.60 = ‘1.60x’ years ATQ; (x + 13) + 12 = (1.60x + 13) Or, x + 25 = 1.60x + 13 Or, 12 = 0.60x Or, x = 20 So, present age of ‘B’ = 20 years And, present age of ‘A’ = 20 + 12 = 32 years Required sum = 20 + 32 = 52 years

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