Question

Question 73

In a school, the number of girls is 50 more than the number of boys. The total number of students is 1070. Find the number of girls.

Answer 1

Let x be the number of boys in the school. Then, the number of girls in the school will be x + 50.
According to the question,
x + (x+50) = 1070
$\Rightarrow 2x+50=1070\Rightarrow 2x=1070-50\left[transposing50toRHS\right]\Rightarrow 2x=1020\Rightarrow x=510\left[dividingbothsidesby2\right]$
So, the number of boys in the school = 510.
$\therefore$ Number of girls in the school = 510 + 50 = 560.