Question

The batting average of a batsman for 20 innings is 35 and the difference between the runs of best inning and worst inning is 50. If these two innings are not included the average becomes 32 for 18 innings. The best score of the batsman is. a

Answer 1

$\Rightarrow$ Total runs scored by the batsman in $20$ innings $=20\times 35=700$

$\Rightarrow$ Total runs scored by the batsman in $18$ innings after excluding $2$ innings $=18\times 32=576$

$\Rightarrow$ Total scored of excluded innings $=700-576=124$

It is given that the scores of the excluded innings differ by $50$.

$\therefore$ Let's take best score as $x+50$ and worst score as $x$.

$\Rightarrow$ Now, $x+50+x=124$

$\Rightarrow$ $2x=74$

$\Rightarrow$ $x=37$

$\Rightarrow$ The best score of the batsman $=37+50=87$