15 students of class X took part in the examination of Indian mathematics Olympiad. The number of boys participants is 5 less than the number of girls participants. Find the number of boys and girls (using a graph) who took part in the examination of Indian mathematics Olympiad.

Let the number of girls be x and the number of boys be y.

Given, total no. of participants is 15.

⇒ x + y = 15

Also, boys participants is 5 less than the number of girls participants

⇒ x = y – 5

We have two equations we will plot them and their intersection will give the required result.

x + y = 15

x = y – 5

Plotting these points on a graph and joining them, we get two straight lines.

From the graph, we can see that both lines intersect at (5, 10), hence solution to this pair is (5, 10).

∴ no. of boys is 5 and no. of girls is 10