A batsman has a certain average after 16 innings. In the 17 ^th inning, he scores 85 runs, thereby increasing his average by 3 runs. What is his new average ?

Correct option is A

Given:
Score in 17th inning = 85 runs
Increase in average = 3 runs
Number of innings = 17
Formula Used:
New Average = $$\frac{Total\ Runs}{Total\ Innings}$$​​
Solution:
Let the original average after 16 innings be x.
Total runs after 16 innings = 16x
Total runs after 17 innings = 16x + 85
The new average is x + 3.
​$$\frac{16x + 85}{17} = x + 3$$​​
16x + 85 = 17(x + 3)
16x + 85 = 17x + 51
x = 85 - 51
x = 34
The original average was 34.
The new average = 34 + 3 = 37.
Final Answer
So the correct answer is (a)