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Question : A batsman scores 87 runs in the 21st match of his career. His average runs per match increases by 2. What was his average before the 21st match?

Option 1: 45

Option 2: 46

Option 3: 44

Option 4: 43


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: 45


Solution : Let his average before the 21 st match be $x$.
New average after 21 st match = $(x + 2)$
Total runs before the 21 st match = $20x$
Runs scored in the 21 st match = 87
⇒ $x + 2$ = $\frac{87 + 20x}{21}$
⇒ $21x + 42$ = $87 + 20x$
⇒ $x$ = $45$
Hence, the correct answer is 45.

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