Question

A cricketer makes some runs in 15 innings.He makes 85 runs in sixteeth inning and by this, his average runs exceed by 3. What is the average of his runs after sixteeth innings.

Answer 1

let the avg run scored is x runs in 15 innings

15x 85= 16(x+3)

x= 85-48

x=37

avg of 16 innings= x+3= 40

Answer 2

Answer:

Average of $16^{th}$ inning is $40.$

Step-by-step explanation:

Given:

Cricketer makes $85$ runs in sixteenth innings, average run exceed by $3.$

Find:

The average of his runs after sixteenth innings.

Solution:

Average: An average is a single number that is used to represent a group of numbers. In different situations, multiple definitions of average are employed. "Average" is frequently used to refer to the arithmetic mean, which is the total of the numbers divided by the number of numbers being averaged.

Let the average of runs for $15$ inning be $x.$

Then, the average of runs for $10$ inning be $x+3.$

Total runs for $15$ innings $=15x$

Total runs for $16$ innings $=15x+85$

Given: $\frac{15x+85}{16}=x+3$

$15x+85=16x+48\\85-48=x\\37=x$

Average of $16$ inning is

$37+3=40$

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