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      Question

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

      the boys is 16 years and that of the girls is 12 years. If the average age of the school is 14 years 9 months. Then find the number of girls in the school?
      A 275 Correct Answer Incorrect Answer
      B 175 Correct Answer Incorrect Answer
      C 137 Correct Answer Incorrect Answer
      D 125 Correct Answer Incorrect Answer

      Solution

      Total number of students in school = 400 Let the number 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 girls = 400 - 275 = 125

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