The batting average of a particular batsman is 63 runs in 46 innings. If the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score.
Choose the correct choice from the following choices.
A) 179 B) 208 C) 210 D) 223 E) 248
Explanation:   Total runs scored by the batsman = 63*46= 
<gadget id="calculator">63*46</gadget>
<output>2_898</output>
2898 runs   Now excluding the two innings the runs scored= 58*44= 
<gadget id="calculator">58*44</gadget>
<output>2_552</output>
2552 runs   Hence the runs scored in the two innings= 2898 – 2552 = 346 runs.   Let the highest score be x, hence the lowest score = x – 150   x + (x - 150) = 346   2x = 496   x = 248 runs   ANSW248R 248
<result>E</result>
The batting average of a particular batsman is 63 runs in 46 innings. If the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score.