There are 50 students in a class in which the number of boys are 2 more than the number of girls. The average score of the girls is 38 while the average score of the total students is 40 then find approximate average score of boys.

Correct option is A

Information Given:

Total students = 50

Number of boys = Number of girls + 2

Average score of girls = 38

Average score of all students = 40

Asked: Find average score of boys (approximate)

Formula Used:

Average = Total score/Number of students

Explanation:

Let girls = x

Then boys = x + 2

x + x + 2 = 50

2x = 50 – 2

2x = 48

x = 24,

So, boys = 24 +2 = 26

Total score of girls = 24 × 38 = 912

Total score of students = 50 × 40 = 2000

Total score of boys = 2000 - 912 = 1088

Average score of boys = 1088 ÷ 26 = 41.88 ≈ 42