Question

Find...
Average of a batsman after 14 innings is X.
He scored 120 runs in his 15 th inning, therefore his average increased by 4 runs.
Find the value of X.​

Answer 1

Step-by-step explanation:

see the attached image for explanation, the value of x is 60

Answer 2

Given - Number of innings

Find - Value of x

Solution - Average = sum of scores/number of innings

Sum of scores in 14 innings = 14*x

Sum of scores in 14 innings = 14x

Average of 15 innings = x + 4

Sum of scores in 15 innings = 14x + 120

Keep the values in formula to find the value of x

$x+4 = \frac{14x + 120}{15}$

Shifting 15 to Left Hand Side and performing multiplication

15 (x + 4) = 14x + 120

$15x + 60 = 14x + 120$

Shifting values on both sides of the equation

15x - 14x = 120 - 60

x = 60

Hence, the value of x is 60.