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    Question

     In a school with 400 students, the average age of the

    boys is 16 years and that of the girls is 12 years. If the average age of school is 14 years 9 months. Then find the number of boys in the school.
    A 275 Correct Answer Incorrect Answer
    B 125 Correct Answer Incorrect Answer
    C 225 Correct Answer Incorrect Answer
    D 175 Correct Answer Incorrect Answer

    Solution

    Total number of students in school = 400 Let the average age of Boys be ‘x. Then the number of girls in school = 400-x According to the question, x × 16 + (400 - x) × 12 = 400 × 14+9/12 16x + 4800 - 12x = 400 × 59/4 4x + 4800 = 5900 4x = 1100 x = 275 Number of boys = 275

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