Question

The batting average of a player is 51. if he hits 78 runs in this match it will rise to 54. how many matches has the player played? the numbers

Answer 1

Answer:

8

Step-by-step explanation:

sum/no. of matches = 51

He plays one match so add 1 to no. of matches and the number of runs to the sum.

s+78/n+1 = 54

so now we have two equations for 2 variables.

we can find n value, which is 8

Answer 2

The number of matches played is 8

Given:

The batting average of a player is 51

If he hits 78 runs in this match it will rise to 54

To find:

How many matches has the player played

Solution:

Let x be the number of matches played by the player

⇒ The average runs of x matches = sum of runs/ number of matches

From given data

Sum of runs/number of matches = 51

⇒ Sum of runs/x = 51

⇒ Sum of runs = 51x __(1)

Given that if he hit 78 runs the the average will be 54

⇒  (51x+78)/x+1 = 54

⇒ 51x + 78 = 54x + 54

⇒ 54x + 54 = 51x + 78

⇒ 3x = 24

⇒ x = 8  

Therefore, the number of matches played = 8

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