A cricket player scored 180 runs in the first match and 257 runs in th

1.	A cricket player scored 180 runs in the first match and 257 runs in the second match. Find the number of runs he should score in the third match so that the average of runs in the three matches be 230.
Answer» Let the number of runs required by the cricket player to score in the third match be x. Number of runs scored by the player in first match = 180 Number of runs scored in second match = 257 ∴ Total runs scored by the player = 180 + 257 + x = 437 + x Average of runs in the three matches = (437 + x)/3 Since, the average of runs should be 230. (437 + x)/3 = 230 ∴ 437 + x = 230 × 3 ∴ 437 + x = 690 ∴ x = 690 – 437 ∴ x = 253 ∴ The cricket player should score 253 runs in the third match.

A cricket player scored 180 runs in the first match and 257 runs in the second match. Find the number of runs he should score in the third match so that the average of runs in the three matches be 230.

Answer»

Let the number of runs required by the cricket player to score in the third match be x.

Number of runs scored by the player in first match = 180

Number of runs scored in second match = 257

∴ Total runs scored by the player = 180 + 257 + x = 437 + x

Average of runs in the three matches = (437 + x)/3

Since, the average of runs should be 230.

(437 + x)/3 = 230

∴ 437 + x = 230 × 3

∴ 437 + x = 690

∴ x = 690 – 437

∴ x = 253

∴ The cricket player should score 253 runs in the third match.