# A batsman in his 11th innings makes a score of 77 runs, thereby increasing his average scores by 3. What is his average score after the $11^{th}$ in

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A batsman in his 11th innings makes a score of 77 runs, thereby increasing his average scores by 3. What is his average score
after the $11^{th}$ inning?
1. 46
2. 47
3. 48
4. 49

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Correct Answer - Option 2 : 47

Given :

A batsman in his $11^{th}$ innings makes a score of 77 runs, thereby increasing his average scores by 3.

Formula used :

Average = Total value of all observations/Number of observations

Calculations :

Let the average score per match up to 10 matches be 'x'

Total score up to 10 matches = 10 × x = 10x

Total score up to 11 matches = 10x + 77

Now according to the question

(10x + 77)/11 = x + 3

⇒ 10x + 77 = 11x + 33

⇒ x = 44

Average score after 11th innings = x + 3

⇒ 44 + 3

⇒ 47

∴ His average after 11th innings will be 47 runs