The average of runs scored by a cricket player in 11 innings is 63 and the average of his first six innings is 60 and the average of last six innings is 65. Find the runs scored by him in the sixth innings?
Question
The average of runs scored by a cricket player in 11 innings is 63 and the average of his first six innings is 60 and the average of last six innings is 65. Find the runs scored by him in the sixth innings?
Solution
Sure, let's solve this step by step:
Step 1: Calculate the total runs scored in 11 innings. Since the average is 63, the total runs = 11 * 63 = 693 runs.
Step 2: Calculate the total runs scored in the first six innings. Since the average is 60, the total runs = 6 * 60 = 360 runs.
Step 3: Calculate the total runs scored in the last six innings. Since the average is 65, the total runs = 6 * 65 = 390 runs.
Step 4: Notice that the sixth innings is counted twice - once in the first six innings and once in the last six innings. So, to find the runs scored in the sixth innings, we subtract the total runs in 11 innings from the sum of the total runs in the first six and the last six innings.
So, the runs scored in the sixth innings = (360 + 390) - 693 = 57 runs.
Similar Questions
The batting average of a cricket player for 64 innings is 62 runs. His highest score exceeds his lowest score by 180 runs. Excluding these two innings, the average of remaining innings becomes 60 runs. His highest score was?
A batsman has a certain average in 59 innings that he has played till the last one. If his average increased by 2 runs after scoring 181 in the last innings, what is his average after these 60 innings?
The batting average of a particular batsman is 60 runs in 46 innings.If the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs,find his highest score.179208210None of these
Had Ajay scored 18 runs more in his 3rd innings and 4 runs more in his 7th innings,his average would have become 66 runs.But it is 64 runs.How many innings did he play?15101211
In a certain number of innings, the average runs scored by a batsman were 34. He scored 119 runs in the next innings and his average to 39. What is the total number of innings played by the batsman?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.