Question

A batsman in his 12th innings make, a score of 63 runs and thereby increases, his average score by 2 . What is his average score after the 12th innings?​

Answer 1

Step-by-step explanation:

Let the average score of 11th inning be x.

Therefore, after 12th inning,

Average score = x + 2

Total runs scored in 11 innings = 11x

$Average \: score \: of \: 12^{th} \: inning \\ \\ = \frac{11x + 63}{12} \\ \\ \therefore \: x + 2 = \frac{11x + 63}{12} \\ \\ \therefore \: 12(x + 2) = 11x + 63 \\ \\ \therefore \: 12x + 24= 11x + 63 \\ \\ \therefore \: 12x - 11x= 63 - 24 \\ \\ \therefore \: x= 39 \\ \\ \implies \: x + 2 = 39 + 2 \\ \huge \purple{ \boxed{\implies \: x + 2 = 41}}$

Thus, average score after 12th inning is 41 runs.

Answer 2

Answer:

Above answer is correct