A batsman makes a score of 82 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?	Choose the correct choice
A) 25
B) 31
C) 27
D) 29
E) 34

Rationale: "let the average after 17 innings = x total runs scored in 17 innings = 17 x average after 16 innings = ( x - 3 ) total runs scored in 16 innings = 16 ( x - 3 ) total runs scored in 16 innings + 82 = total runs scored in 17 innings = > 16 ( x - 3 ) + 82 = 17 x = > 16 x - 48 + 82 = 17 x = > x = 34 answer is e ."
Answer: E