The batting average for 40 innings of a cricketer is 60 runs. If two innings are excluded the average of his remaining 38 innings is 55 runs. What is the sum of these two innings excluded?
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Given,
Batting average of a cricketer for 40 innings = 60
Average if two innings are excluded = 55
To Find,
The sum of the innings that were excluded.
Solution,
Let the two excluded innings be x and y.
So,
In first case
(x+y....)/40 = 60
x+y+... = 2400
Now,
When two innings are excluded,
Average/38 = 55
average = 55*38 = 2090
Now
x+y = 2400-2090 = 310
Hence, the sum of the two excluded innings is 310.
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