Question

A Batman in his 11 th inning make a score of 68 runs and there by increase his average score by 2 . What is his average score after the 11th innings

Answer 1

Let the total runs scored by the batsman in his first 10 innings be "x" and the average runs scored per inning be "y"
So, x/10 = y
⇒ x = 10y → (1)
Given, the batsman scored 68 runs in his 11th innings and average runs per innings increased by 2 runs.
i.e, x+68/11 = y+2
⇒ x + 68 = 11y + 22
⇒x - 11y = -46
⇒10y-11y = -46 [From (1)]
⇒y = 46
Hence, average runs scored per innings after the 11th innings = 46+2 = 48 runs