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A cricketer scored some runs in his 21st innings, as a result, his average runs increased by 3. If the present average run is 40, how many runs he scored in the final innings?
Answer & Solution
Correct Answer:
Option
B
Let he scored x runs in final innings
Now,
37 × 20 + x = 40 × 21
x = 840 - 740
x = 100
Now,
37 × 20 + x = 40 × 21
x = 840 - 740
x = 100
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LoginLet's assume the cricketer scored "X" runs in his 21st innings.
According to the given information, after the 21st innings, his average runs increased by 3. This means that his average before the 21st innings was 40 - 3 = 37 runs.
We can set up an equation using the information:
((20 * 37) + X) / 21 = 40
To solve for X, we can multiply both sides of the equation by 21:
20 * 37 + X = 40 * 21
740 + X = 840
Next, we can subtract 740 from both sides of the equation:
X = 840 - 740
X = 100
Therefore, the cricketer scored 100 runs in his final innings.
The correct answer is B. 100.
Average score in 21 Innings =(40+3)=43
suppose x runs score in last inning
now,
20*40+x=43*21
x=103
(43*21)-(40*20)=103
So I got 103 as the answer