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ExamsIBPS POQuantitative Aptitude

In a coaching centre, the average age of students studying for competitive exams is 22 years. The average age of the boys in the class is 26 years and that of the girls is 19 years. If the number of boys in the class is 12, find the number of girls.

  1. 12
  2. 14
  3. 16
  4. 18

Correct answer: 16

Solution

The total age of 12 boys is \(12 \times 26 = 312\). If the number of girls is \(g\), then the total age of girls is \(19g\), and the overall average gives \((312 + 19g)/(12 + g) = 22\). Solving yields \(g = 16\).

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