A batsman scored an average of 45 runs in 6 innings. How many runs should he score in the 7th innings to increase his average by 3?

Question: A batsman scored an average of 45 runs in 6 innings. How many runs should he score in the 7th innings to increase his average by 3?

Solution:
Given that,
Average runs in 6 innings = 45

∴ Total runs in 6 innings = Average × Number of innings
= 45 × 6
= 270

He wants to increase his average by 3.
New average after 7 innings = 45 + 3
= 48

Therefore, total runs needed in 7 innings = 48 × 7
= 336

∴ Runs to be scored in the 7th innings = 336 - 270
= 66

So, the batsman must score 66 runs in his 7th innings to increase his average by 3.