Education and Career Forum

Arvind and Vinod have some erasers. Arvind said to Vinod, if you give me 10 erasers, I will have twice the erasers left with you. Represent the situation as a linear equation in two variables.

Arvind : A
Vinod : V

A+V = x (total number of erasers) {eq. (i)}

Now A+10 = 2*(V-10)
= A+10 = 2V-20
= 2V-A = 30 {eq. (ii)}

Now if the value of the total number of erasers is given, you can solve both the equations and get the number of erasers what both of them have.

For solution to this question,

Let initially Arvind has x erasers with him and Vinod has y erasers with him.

Now, when Vinod gives 10 erasers to Arvind, then

Number of erasers with Arvind = 2 * number of erasers left with Vinod

i.e; x + 10 = 2(y-10), which is the required relation between x and y.

Further as there is one equation with two variables hence without having anyother condition exact solution of above question is not possible which means the above equation has infinitely many solutions as for every new value of x we get a corresponding value of y.

The cost of 3 pens and 2 copies is Rs 110. Represent this situation with linear equation in two variable

To represent a linear equation in two variables you have to assume 2 variables.

Let the total number of erasers be t.
Let Arvind has a erasers and Vinod has v erasers.
According to the question-
a+v=t...eq1
a+10=2*(v-10)
2v-a=30....eq2
By solving eq1 & eq2 you will get the answer.