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

Question :

Find average of a batsman after 14 innings is x.

He scored 120 runs in his 15th inning, therefore his average increased by 4 runs.

Find the value of x.

Answer :

The value of x (average of the batsman after 14innings) is 120.

Given :

Average of the batsman after 14 innings = x

Runs scored by him in his 15th innings = 120

Average increases by 4

To find :

The value of x

Solution :

Total run of the batsman in 14 innings = 14 × x

= 14x

Total runs of the batsman after 15 innings = 14x + 120

Average runs after 15 innings = (14x + 120)/15

Also, according to the problem,

Average runs after 15 innings = x + 4

Hence,

(14x + 120)/15 = x+4

=> 14x + 120 = 15(x+4)

=> 14x + 120 = 15x + 60

=> 14x - 15x = 60-120

=> -x = -120

=> x = 120

Hence, the value of x (average of the batsman after 14innings) is 120.

#SPJ1

Answer 2

Answer:

The value of x = 60

Step-by-step explanation:

Given,

Average runs scored by a batsman after 14 innings = x

The runs scored in the 15th innings = 120

The average scored by the batsman after 15 innings = x+4

To find,

The value of x

Recall the formula

Average = $\frac{Sum \ of \ observations}{Total \ number\ of \ observatons}$

Solution:

Since average of 14 observations = x

We have

$\frac{Sum \ of \ 14 \ observations}{14}$ = x

Sum of runs in 14 innings = 14x ----------------(1)

Again since average of 15 observations = x+4

$\frac{Sum \ of \ 15 \ observations}{15}$ = x+4

Sum of runs in 15 innings = 15(x+4) = 15x + 60

Since, the runs scored by the batsman in the 15th innings = 120

Sum of runs in 15 innings  =  Sum of runs in 14 innings + 120

Sum of runs in 14 innings + 120 = 15x + 60

 = 15x + 60 -120

15x - 60

Sum of runs in 14 innings = 15x - 60 --------------(2)

From equations (1) and (2) we get

15x - 60 = 14x

x = 60

Answer:

The value of x = 60

#SPJ2