Question

A cricket team won two more matches than they lost. If they win they get 5 points and for loss − 3 points, how many matches have they played if their total score is 50.

Answer 1

Let the number of matches lost = x.

Then, number of matches won = x + 2.

According to question,

5(x + 2) + (− 3)x = 50

5x + 10 − 3x = 50

2x + 10 = 50

2x + 10 − 10 = 50 − 10 (Subtract 10 on both sides)

2x = 40

Divide by 2 on both the sides,

x = 20.

Therefore, the number of matches played is

x + x + 2 = 2x + 2

= (2 $\times$ 20) + 2

= 40 + 2

= 42.