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    Question

    The present average age of β€˜X’ and β€˜Y’ is 45

    years, present average age of β€˜X’ and β€˜Z’ is 32 years and present average age of β€˜Y’ and β€˜Z’ is 9 years. Find the present age of β€˜X’
    A 60 yrs Correct Answer Incorrect Answer
    B 55 yrs Correct Answer Incorrect Answer
    C 68 yrs Correct Answer Incorrect Answer
    D 45 yrs Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    According to the question, Present ages of (X + Y) = 45 Γ— 2 = 90…. (1) Than, the Present ages of (X + Z) = 32 Γ— 2 = 64…. (2) Than, the Present ages of (Y + Z) = 12 Γ— 2 = 18….. (3) Therefore From equations (1), (2) and (3), we get Present ages of (X + Y + Z) = (90 + 64 + 18)/2 = 86 years Therefore From equation (3)we will get the, present age of β€˜X’ = 86 – 18 = 68 years

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