Question

$10$ students of class $X$ took part in a mathematics quiz. If the number of girls is four more than the number of boys, then find the number of boys and the number of girls who took part in the quiz

Answer 1

Given that,

Total number of students who took part in the the quiz $=10$

Let, the number of boys who took part in the quiz $=x$

and, number of girls who took part in the quiz $=y$

According to question,

$x+y=10$ ...........(1)

$y=x+4$ ..........(2)

By putting value of $x=10-y$ in equation(2), we get

$y=10-y+4$

or, $2y=14$

So, $y=\frac{14}{2}=7$

and $x=10-7=3$

Therefore,

Number of boys who took part in the quiz $=3$

Number of girls who took part in the class $=7$