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    Question

    The average age of (x + 2) students of a class is 14 years.

    If the 56 years old class teacher is also included then average age of the class gets increased by three years. Find x% of 200.
    A 18 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 22 Correct Answer Incorrect Answer
    D 24 Correct Answer Incorrect Answer
    E 26 Correct Answer Incorrect Answer

    Solution

    Total age of students = 14(x + 2) years
    According to question,
    [14(x + 2) + 56] = (14 + 3)(x + 2 + 1)
    14x + 28 + 56 = 17x + 51
    17x – 14x = 84 – 51
    x = 11
    So, 11% of 200 = 22

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