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    Question

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

    5:6, respectively. Three years hence from now, the age of β€˜B’ will be 21 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 33 years Correct Answer Incorrect Answer
    B 30 years Correct Answer Incorrect Answer
    C 36 years Correct Answer Incorrect Answer
    D 34 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 5x years and 6x years, respectively Therefore, 6x + 3 = 21 Or, 6x = 18 Or, x = 3 Sum of present ages of β€˜A’ and β€˜B’ = 5x + 6x = 33 years Sum of present ages of β€˜A’, 'B’ and β€˜C’ = 22 Γ— 3 = 66 years Therefore, present age of β€˜C’ = 66 – 33 = 33 years

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