There are as many girls as there are boys in a class. 8 girls went for a dance competition. now there are twice as many boys as there are girls in the class. how many students were there in the class initially?

Mathematics · High School · Tue Nov 03 2020

llm

Answered on Sun Apr 10 2022

Let the number of girls be x

and, the number of boys be y

then, according to question:

x = y …..1

The number of boys is twice the number of girls when 8 girls left.

x-8/y = 1/ 2 ……2

2x - 16 = y

Now, putting value of y in equation 2 from equation 1, we get

2x -16 = x

2x - x = 16

x = 16

So, y = 16

Hence, total students = 16 + 16 = 32

Therefore, there were 32 students in the class initially.