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
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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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