Question

In a series of five one-day matches. Akhil scored 60 runs in first match, 35 runs in second mat
75 runs in third match and 24 runs in fourth match. If the number of runs scored in fifth ma
were two times that in second match, how many runs did Akhil score in all?​

Answer 1

Answer:

Many may assume here that the total amount of runs scored until now by the cricketer is 128(32*4).But this may not be true.Average of a batsmen is calculated by dividing his total number of runs scored by the total number of times the batsman got out in his inning. So suppose a batsmen scores 40,30,20,6* in his 4 innings his average will be still 32(96/3).

So coming to your question, we cannot really tell how much run will be enough to make his average 50. It depends on the number of times he got out in the 4 innings that he had played. If we look at the above example the batsmen needs to score 104 runs if he gets out or 54 if he doesn't gets out in order to make his average 50.

What can we say with certainty is that the batsmen needs to score at least 18 runs for his average to reach 50. It comes from the fact that the batsmen averages 32 which indicates that he must have been out in minimum one of his innings. If not then his average would have been undefined since anything divided by zero (runs scored/total number of innings in which you are out)is not defined. So to score minimum runs to make average of 50 his total runs as of now should be 32 in all his 4 innings combined(3 not out and 1 out).Now if he scores 18* than his average will reach 50. In all the other cases he would need to score more runs. (36* in case his total his 64 with 2 outs.

*: indicates that a batsmen remained not out in his innings.