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    Question

    The ratio of the present ages of β€˜A’ and β€˜B’ is

    3:4, respectively. Two years hence from now, the age of β€˜B’ will be 10 years. If the average of present ages of β€˜A’, β€˜B’ and β€˜C’ is 22 years, then find the present age of β€˜C’.
    A 50 years Correct Answer Incorrect Answer
    B 52 years Correct Answer Incorrect Answer
    C 51 years Correct Answer Incorrect Answer
    D 54 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the present ages of β€˜A’ and β€˜B’ be 3x years and 4x years, respectively Therefore, 4x + 2 = 10 Or, 2x = 8 Or, x = 4 Sum of present ages of β€˜A’ and β€˜B’ = 3x + 4x = 14 years Sum of present ages of β€˜A’, β€œB’ and β€˜C’ = 22 Γ— 3 = 66 years Therefore, present age of β€˜C’ = 66 – 14 = 52 years

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