The average of a batsman after 25 innings was 56 runs per innings. If after the 26th inning his average increased by 2 runs, then what was his score in the 26th inning?
Answers
Answer:
His score in the 26th inning is '154'.
Step-by-step explanation:
Step : 1 After 25 innings average score= 50
Total score = 25×50 =1250
After 26 innings , average =50+4=54
Total score =54×26= 1404
So, his score in the 26th innings
=1404–1250= 154 runs
Second type:
Increased average by 26th innings = 4
So, his score in the 26th innings=26×4=104+50
= 154
Step : 2 After 26 innings, the batter scored 1404 runs (26 multiplied by 54).
The batter scored 1250 runs in the first 25 innings (25 x 50).
As a result, the total runs scored in the 26 innings is equal to 154 (1404-1250).
Step : 3 On the last day of the first Test match between India and Sri Lanka in Ahmedabad, Sachin Tendulkar became the first person to reach 30,000 international runs. Chanaka Welegedara's inswinging ball was caught by Tendulkar at deep square leg for a single in the 44th over of the day.
Step : 4 A player's batting average in cricket is calculated by dividing their total runs scored by the total number of times they have been out, generally to two decimal places.
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If a batsman had a 25-inning average of 56 runs and a 26-inning average of 2 more runs, his score in the 26th inning would have been 104 runs.
We must use the data on a batsman's average after 25 innings and the increase in average after the 26th inning to determine his score in the 26th inning.
Assume that the batsman has scored R runs in total over the course of 25 innings. After 25 innings, his average would then be calculated as follows:
R/25 = 56
R = 25 * 56 = 1400
In 25 innings, the batsman had amassed 1400 runs.
His new average would be 56 + 2 = 58 runs per inning since his average increased by 2 runs after the 26th inning.
Assume that S was his final score in the 26th inning. After 26 innings, his new total runs would be as follows:
S + 1400 = 26 * 58
S = 26 * 58 - 1400
S = 1504 - 1400
S = 104
So, in the 26th inning, the batter scored 104 runs.
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