Get Answers to all your Questions

header-bg qa

Q1.    Form the pair of linear equations in the following problems, and find their solutions graphically.

                (i) 10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.

Answers (1)

best_answer

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

Now, According to the question,

Total number of students in the class = 10, i.e.

\Rightarrow x+y=10.....(1)

And

the number of girls is 4 more than the number of boys,i.e.

x=y+4

\Rightarrow x-y=4..........(2)

Different points (x, y) for equation (1)

X 5 6 4
Y 5 4 6

Different points (x,y) satisfying (2)

X 5 6 7
y 1 2 3

 

Graph,

As we can see from the graph, both lines intersect at the point (7,3). that is x= 7 and y = 3 which means the number of boys in the class is 7 and the number of girls in the class is 3.

Posted by

Pankaj Sanodiya

View full answer