Question 84

The average score of a class of boys and girls in an examination is A. The ratio of boys and girls in the class is 3: 1. If the average score of the boys is (A + 1), the average score of the girls is:

Solution

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Let the common multiple be x.
There are x girls and 3x boys.
Now, let girls score be N.
$$\frac{N*x+(A+1)*3x}{4x}$$ = A
N = 4A - 3(A+1)
   = A - 3
Hence, the average score of girls is A-3
 

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