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    Question

    The ratio of the present ages of ‘A’ and ‘B’ is

    5:7, respectively. Three years hence from now, the age of ‘B’ will be 17 years. If the average of present ages of ‘A’, ‘B’ and ‘C’ is 18 years, then find the present age of ‘C’.
    A 30 years Correct Answer Incorrect Answer
    B 34 years Correct Answer Incorrect Answer
    C 35 years Correct Answer Incorrect Answer
    D 31 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the present ages of ‘A’ and ‘B’ be 5x years and 7x years, respectively Therefore, 7x + 3 = 17 Or, 7x = 14 Or, x = 2 Sum of present ages of ‘A’ and ‘B’ = 5x + 7x = 24 years Sum of present ages of ‘A’, “B’ and ‘C’ = 18 × 3 = 54 years Therefore, present age of ‘C’ = 54 – 24 = 30 years

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