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    Question

    In four years, the age ratio of 'X' and 'Y' will be

    10:13, respectively. The current average age of 'Y' and 'Z' is 54 years, and the present average age of 'X' and 'Z' is 48 years. Calculate the current age of 'X'.
    A 36 yrs Correct Answer Incorrect Answer
    B 32 yrs Correct Answer Incorrect Answer
    C 24 yrs Correct Answer Incorrect Answer
    D 16 yrs Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let ages of β€˜X’ and β€˜Y’, 4 years hence from now be β€˜10a’ years and β€˜13a’ years, respectively. And, present age of β€˜Z’ be β€˜b’ years. So, 13a + b – 4 = 54 Γ— 2 = 108 And, 10a + b – 4 = 48 Γ— 2 = 96 So, 3a = 108 – 96 = 12 Or, a = 4 Present age of β€˜X’ = 10 Γ— 4 – 4 = 36 years

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