A batsman makes a score of 66 runs in the 17th inning and thus increases his averages by 3.
A batsman makes a score of 66 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
Answer/Solution
18
Steps/Work
Let the average after 17 innings = x
Total runs scored in 17 innings = 17x
Average after 16 innings = (x-3)
Total runs scored in 16 innings = 16(x-3)
Total runs scored in 16 innings + 66 = Total runs scored in 17 innings
=> 16(x-3) + 66 = 17x
=> 16x - 48 + 66 = 17x
=> x = 18
Answer is E.
Total runs scored in 17 innings = 17x
Average after 16 innings = (x-3)
Total runs scored in 16 innings = 16(x-3)
Total runs scored in 16 innings + 66 = Total runs scored in 17 innings
=> 16(x-3) + 66 = 17x
=> 16x - 48 + 66 = 17x
=> x = 18
Answer is E.