Question

In class $X$ of a school, the ratio of the number of boys to that of the girls is $4:3$ If there were $20$ more boys and $12$ less girls, then the ratio would have been $2:1$. How many students were there in the class?

Answer 1

Let the number of boys be $4x$ and girls be $3x$

Given

$\frac{4x+20}{3x-12}=\frac{2}{1}4x+20=6x-242x=44x=22$

So number of boys $=88$

Number of girls $=66$