Question

in a cricket game dhoni is out for 52 runs which raises his average from 36 to 37 how many runs he score to take his average 39​

Answer 1

Let the number of matches played while having an average of 36, be x.

Total runs = 36 * x = 36x

In the next game, ge scored 52, for which his total score runs became (36x + 52).

Total matches = x + 1

Then average score = (36x + 52)/(x + 1)

Given, (36x + 52)/(x + 1) = 37

or, 36x + 52 = 37x + 37

or, 37x - 36x = 52 - 37

or, x = 15

This number of matches he played at an average of 36 is 15.

In his 16th match, he scored 52 and this made his his average score 37.

Total runs in 16 matches = 37 * 16 = 592

Let he has to score p runs in his 17th game for an average of 39.

Total runs in 17 matches = 17 * 39 = 663

So score in 17th match

= total runs in 17 matches - total runs in 16 matches

= 663 - 592

= 71