Question

a batsman makes a score of 87 run in 17th match and thus increased his average by 3 find his average after the 17th match​

Answer 1

Answer:

39 was his average after the 17 match

Step-by-step explanation:

let his total sum of scores of the 16 match  be x

then his average of 16 matches would be x /16

his new average after he scored 87 runs would be = x + 87 / 17

so, x + 87 /17 = x /16 + 3

= x + 87/17 = x + 48 /16

16 ( x + 87 ) = 17 ( x + 48)

16x + 1392 = 17x + 816

16x - 17x = 816 - 1392

- x = - 576

x = 576

x was his total sum of scores after 16 match so his average before the 17th match would be 576/16 = 36 runs

now when he scored 87 runs the 17th match his average becomes

576 + 87 / 17 = 39 runs  ANS