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    Question

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

    5:8, respectively. Two years hence from now, the age of β€˜B’ will be 26 years. If the average of present ages of β€˜A’, β€˜B’ and β€˜C’ is 25 years, then find the present age of β€˜C’.
    A 35 years Correct Answer Incorrect Answer
    B 37 years Correct Answer Incorrect Answer
    C 38 years Correct Answer Incorrect Answer
    D 36 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 8x years, respectively Therefore, 8x + 2 = 26 Or, 8x = 24 Or, x = 3 Sum of present ages of β€˜A’ and β€˜B’ = 5x + 8x = 39 years Sum of present ages of β€˜A’, 'B’ and β€˜C’ = 25 Γ— 3 = 75 years Therefore, present age of β€˜C’ = 75 – 39 = 36 years

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