The runs scored by two batsmen in a cricket match are 164. Write a linear equation in two variables x and y. Also write a solution of this equation.

Question

Philoid · Accepted Answer

Let the runs scored by the first batsman be x

And,

Let the runs scored by the second batsman be y

The total runs scored are 164 which will be the sum of runs scored by both the batsmen, i.e.,

x + y = 164

Let x = 100 then, x + y = 164

⇒ 100 + y = 164

⇒ y = 164 – 100

⇒ y = 64

Therefore, (100, 64) is a solution of x + y = 164