The ratio of the number of the boys and girls in a class is 2: 3 and the average score in mathematics of all the students in the class is 54. The average score of boys is 50% more than the average score of girls. What is the average score of girls?

45

Ratio of number of boys to girls is = 2 : 3

Let number of boys = 2 & number of girls = 3

Ratio of marks of boys to girls = 3 : 2

ATQ,

2 × 3R + 3 × 2R = 5  × 54

6R + 6R = 270

R = \(\frac{270}{12}\) = 22.5

Average score of girls = 2R = 2 \(\frac{54}{2}\) 22.5 = 45