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    Question

    The ratio of present ages of 'X' and 'Y' is 4:9,

    respectively. The difference between the ages of 'X' and 'Y' is 25 years. If the present age of 'Z' is 25% more than that of 'X', then find the average age of 'X', 'Y', and 'Z' four years hence from now.
    A 25 yrs Correct Answer Incorrect Answer
    B 28 yrs Correct Answer Incorrect Answer
    C 32 yrs Correct Answer Incorrect Answer
    D 34 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the present ages of 'X' and 'Y' be '4x' years and '9x' years, respectively. ATQ: 9x - 4x = 25 5x = 25 x = 5 So, present age of 'X' = 4x = 4 × 5 = 20 years Present age of 'Y' = 9x = 9 × 5 = 45 years Present age of 'Z' = 20 × 1.25 = 25 years Sum of ages of 'X', 'Y', and 'Z' after 4 years from now = (20 + 4 + 45 + 4 + 25 + 4) = 102 years Required average = 102 / 3 = 34 years

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