A cricketer scores 85 runs in his 17th inning and increases his average by 3…
2023
A cricketer scores 85 runs in his 17th inning and increases his average by 3 runs. Find out the average score at the end of the 17th inning.
- A.
37
- B.
47
- C.
49
- D.
25
Attempted by 32 students.
Show answer & explanation
Correct answer: A
Solution:
Let the average after 16 innings be x. Then total runs after 16 innings = 16x.
After the 17th inning (scoring 85), total runs = 16x + 85. The new average increases by 3, so the new average = x + 3 and total runs = 17(x + 3) = 17x + 51.
Equate the totals: 16x + 85 = 17x + 51. Rearranging gives x = 85 - 51 = 34.
Therefore the new average after the 17th inning = x + 3 = 34 + 3 = 37.
Answer: 37