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    Question

    The sum of the ages of a father and his son is 50 years.

    After 5 years, the father's age will be twice that of his son. What are their present ages?
    A Father: 30, Son: 20 Correct Answer Incorrect Answer
    B Father: 40, Son: 10 Correct Answer Incorrect Answer
    C Father: 35, Son: 15 Correct Answer Incorrect Answer
    D Father: 45, Son: 5 Correct Answer Incorrect Answer

    Solution

    Let the father's age be x years and the son's age be (50 - x) years. In 5 years, the father's age will be x + 5 and the son's age will be (50 - x) + 5 = 55 - x. According to the condition: x + 5 = 2(55 - x) x + 5 = 110 - 2x 3x = 105 x = 35 years (father), son = 50 - 35 = 15 years. Answer: c) Father: 35, Son: 15.

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