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    Question

    The average age of a group of 9 teachers is 50 years.

    When the principal retires, the average age of the remaining teachers drops to 45 years. Find the age of the principal.
    A 80 years Correct Answer Incorrect Answer
    B 85 years Correct Answer Incorrect Answer
    C 90 years Correct Answer Incorrect Answer
    D 95 years Correct Answer Incorrect Answer

    Solution

    Let the age of the principal be ‘x’ years. So, x + (50 – 5) × 8 = 9 × 50 x + 45 × 8 = 450 x + 360 = 450 x = 450 – 360 x = 90 years So, age of the principal was 90 years.

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