Question

There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?​

Answer 1

Answer:

54

Step-by-step explanation:

40% = 2/5

Let the number of boys be 5

Number of girls = 5x (7/5) = 7

Let the average score of girls be 5x

Average score of boys be = 5x x (7/5) = 7x

According to the question

5 x 7x + 7 x 5x = 12 x 63

⇒ 35x + 35x = 756

⇒ 70x = 756

⇒ x = 756/70 = 10.8

Average score of girls = 5 x 10.8 = 54