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    Question

    The average age of a class was 16 years. 8 new

    students with an average age of 12 years joined the class. So, the average age of class decreased by 1 year. The original number of students in the class was:
    A 24 Correct Answer Incorrect Answer
    B 25 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 40 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the number of students in the class be X. Then the age of x students= 16x New Average = 16- 1 = 15 (16x + 8*12)/(x + 8)= 15 => 16x- 96= 15x + 120 => 16x- 15x= 120-96 => x= 24

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