The bar graph below gives the runs scored by Team A in the first six overs of a cricket match.
The runs scored by Team A in the 7th over was 5 more than the runs scored by them in the 8th over, but & less than the runs scored by them in the 9th over. If the average runs scored per over by Team A in the first nine overs of the match was 9, how many runs did the team score in the 8th over?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 6.
The run score by team A in the 7th over = x
So, [4 + 15 + 8 + 7 + 7 + 10 + 3 + x + (x - 5) + (x + 6)]/ 9 = 9
⇒ (48 + 3x)/9 = 9
⇒ 48 + 3x = 81
⇒ 3x = 81 - 48 = 33
⇒ x = 11
⇒ x - 5 = 11 - 5 = 6
Therefore, the run score by team A in the 8th over is 6.