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Question : A batsman scores 98 runs in the 17th match of his career. His average runs per match increased by 2.5. What was his average before the 17th match?

Option 1: 58

Option 2: 60.5

Option 3: 63

Option 4: 55.5


Team Careers360 20th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 55.5


Solution : Let the average before the 17 th match be $x$.
New average after 17 th match = $x$ + 2.5
Runs scored in the 17 th match = 98 runs
Total runs before the 17 th match = 16$x$
⇒ 16$x$ + 98 = ($x$ + 2.5) × 17
⇒ 17$x$ – 16$x$ = 98 – 42.5
⇒ $x$ = 55.5
Hence, the correct answer is 55.5.

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