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    Question

    Present age of ‘A’ is 50% more than that of ‘B’.

    If 20 years hence from now, ‘B’ will be 16 years younger than ‘A’, then find the sum of present ages of ‘A’ and ‘B’.
    A 85 years Correct Answer Incorrect Answer
    B 89 years Correct Answer Incorrect Answer
    C 80 years Correct Answer Incorrect Answer
    D 84 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 × 1.50 = ‘1.50x’ years ATQ; (x + 20) + 16 = (1.50x + 20) Or, x + 36 = 1.50x + 20 Or, 16 = 0.5x Or, x = 32 So, present age of ‘B’ = 32 years And, present age of ‘A’ = 32 + 16 = 48 years Required sum = 32 + 48 = 80 years

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