1. A batsman scored at an average some runs in 10 innings. He scored 48 runs in
the 11th innings. Thereby his average runs came down by 2. What were his
average runs in 11 innings?
(1) 74 (2) 72 (3) 70 (4) 68
Answers
Answered by
6
Answer:
68
Step-by-step explanation:
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Answered by
20
Friends ..!
Let the average runs during 10 innings be R runs.
Therefore, his sum of scores in 10 innings = average × number of innings = R × 10 = 10R
After 11 innings his average came down by 2.
Thus Average runs after 11 innings = R - 2
Sum of runs scored after 11 innings = sum of 10 innings + runs of 11 inning = 10R + 48
Thus, average of runs of 11 inning = (10R + 48)/11
As per statement
(10R + 48)/11 = R - 2
Cross multiplication
11 (R - 2) = 10R + 48
11R - 22 = 10R + 48
11R - 10R = 48 + 22
R = 48 + 22
R = 70
Thus, the average of runs for 10 innings = 70
Average of runs for 11 innings = 70 - 2= 68
Answer : the average of runs for 11 innings are 68
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