A batsman scores 152 runs in his 15th inning, which increases his average score by 5 runs. Find the average score per inning of the batsman after the 15th inning.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1, i.e., 82.
Let the average after 14 innings = x
Total runs after 14 innings = 14 × x
After 15th inning, new average = x + 5
Total runs after 15 innings = 14 × x + 152
New average = Total ÷ 15 → x + 5 = (14 × x + 152) ÷ 15
Multiply both sides by 15: 15 × (x + 5) = 14 × x + 152
15x + 75 = 14x + 152
15x − 14x = 152 − 75
x = 77
New average = x + 5 = 77 + 5 = 82