Question

    The sum of the ages of a father and his son is 60 years.

    15 years ago, the father was five times as old as the son. What is the present age of the father?
    A 45 years Correct Answer Incorrect Answer
    B 40 years Correct Answer Incorrect Answer
    C 50 years Correct Answer Incorrect Answer
    D 55 years Correct Answer Incorrect Answer

    Solution

    Let the son’s present age be x. Then, father’s age = 60 - x. 15 years ago, father’s age = (60 - x) - 15, and son’s age = x - 15. (60 - x - 15) = 5(x - 15). Solving this: 45 - x = 5x - 75, 120 = 6x, x = 20. Father’s age = 60 - 20 = 40 years. Correct Option: b) 40 years

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