A batsman scored 135 runs in the 21st innings and thus his batting average increases by 2. Find the batting average for first 20 innings.
[Batting Average = Total Runs scored / Number of innings]
Explanation:
Let the batting average for first 20 innings be a.
Total runs scored in first 20 innings = 20 × a.
∴ Total score after 21 innings = 20a + 135
⇒ Average after 21 innings = a + 2 = (20a + 135)/21
⇒ 21a + 42 = 20a + 135
⇒ a = 93
Alternately, Since the average of now 21 innings increases by 2 runs hence he scored 21 × 2 = 42 runs more than old average.
∴ 135 - a = 42
Hence, 93.
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