Question

Nilesh got twice the marks as obtained by Ilesh, in the annual examination of mathematics of standard 10. The sum of the marks as obtained by them is 135. Obtain a pair of linear equation in two variables from the given information.

Answer 1

HELLO DEAR,

let the Mark's obtain by IIesh be x
and marks obtain by Nilesh be y.

according to questions,

Nilesh got twice the marks as obtained by Ilesh,

so,y = 2x

2x - y = 0 --------( 1 )

and,
The sum of the marks as obtained by them is 135.

it means the sum of marks obtain by llesh and Nilesh is 135

therefore,

x + y = 135------( 2 )

Hence, the required equations are given above,


I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

Dear Student,

Solution:

Let the marks obtained by Nilesh are x

and marks obtained by Ilesh are y

A.T.Q. Nilesh got twice the marks as obtained by Ilesh,
when we equate those marks,we write as

$x = 2y$
because Nilesh has twice the marks then Ilesh,that's why we have to multiply 2 in llesh marks to equate both.

Now as the sum of marks of both Nilesh and llesh is 135.

So, on adding
$x + y = 135$
This is the final equation to represent the given situation.

Now by both equations you can calculate the marks of both

just put x = 2y in the second equation

Hope it helps you