Question

A batsman has a certain average of runs for 16 innings. In the 17th inning, he makes a score of 85 runs there by increasing the average by 3. What is the average of 17 innings ? 

(a) 38 

(b) 37 

(c) 36 

(d) 35

Answer 1

Answer is: (b) 37

Let the average of runs for 16 innings be A. 

Then, average of runs for 17 innings = A + 3 

Total runs for 16 innings = 16 A 

⇒ Total runs for 17 innings = 16A + 85 

Given, \(\frac{16A+85}{17}\) = A + 3

⇒ 16A + 85 = 17A + 51 ⇒ A = 34

∴ Average of 17 innings = 34 + 3 = 37