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The average age of boys in class is 16.66, while the average age of girls is 18.75. Thus the average age of all the 40 students of the class is 17.5. If the difference between the no. of boys and girls is 8, then the no. of girls in the class is: Options : 12 16 18 Data insufficient

Question

The average age of boys in class is 16.66, while the average age of girls is 18.75. Thus the average age of all the 40 students of the class is 17.5. If the difference between the no. of boys and girls is 8, then the no. of girls in the class is:

Options : 12 16 18 Data insufficient

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Solution

Let's denote the number of boys as B and the number of girls as G. We know from the problem that:

  1. B + G = 40 (total number of students)
  2. B - G = 8 (difference between the number of boys and girls)

We can solve this system of equations to find the values of B and G. Adding the two equations, we get:

2B = 48, so B = 24.

Substituting B = 24 into the first equation, we get:

24 + G = 40, so G = 16.

Therefore, the number of girls in the class is 16.

This problem has been solved

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