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    Question

    Present age of ‘A’ is 25% more than that of ‘B’.

    If 22 years hence from now, ‘B’ will be 20 years younger than ‘A’, then find the sum of present ages of ‘A’ and ‘B’.
    A 120 years Correct Answer Incorrect Answer
    B 190 years Correct Answer Incorrect Answer
    C 180 years Correct Answer Incorrect Answer
    D 130 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 × 1.25 = ‘1.25x’ years ATQ; (x + 22) + 20 = (1.25x + 22) Or, x + 42 = 1.25x + 22 Or, 20 = 0.25x Or, x = 80 So, present age of ‘B’ = 80 years And, present age of ‘A’ = 80 + 20 = 100 years Required sum = 80 + 100 = 180 years

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