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    Question

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

    8:7, respectively. Four years hence from now, the age of β€˜B’ will be 18 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 32 years Correct Answer Incorrect Answer
    B 30 years Correct Answer Incorrect Answer
    C 36 years Correct Answer Incorrect Answer
    D 33 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 8x years and 7x years, respectively Therefore, 7x + 4 = 18 Or, 7x = 14 Or, x = 2 Sum of present ages of β€˜A’ and β€˜B’ = 8x + 7x = 30 years Sum of present ages of β€˜A’, 'B’ and β€˜C’ = 22 Γ— 3 = 66 years Therefore, present age of β€˜C’ = 66 – 30 = 36 years

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