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    Question

    The sum of the ages of P, Q, and R is 120 years. If P is

    10 years older than Q and R is 5 years younger than P, what is the age of Q?
    A 35 years Correct Answer Incorrect Answer
    B 40 years Correct Answer Incorrect Answer
    C 45 years Correct Answer Incorrect Answer
    D 50 years Correct Answer Incorrect Answer

    Solution

    Let the age of Q be x years. Then the age of P = x + 10 years, And the age of R = (x + 10) - 5 = x + 5 years. The sum of their ages = 120, so: x + (x + 10) + (x + 5) = 120, 3x + 15 = 120, 3x = 105, x = 105 / 3 = 35 years. The age of Q is 35 years.

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