Question

A batsman scores 120 runs in the 25th inning and thus increases his average by 4. what is his average after the 25th inning?
A) 24
B) 16
C) 20
D) 12
​

Answer 1

Answer:

24 is the ans

Step-by-step explanation:

(24x +120) /25= x+4

24x + 120 = 25x + 100

120-100 =25x - 24x

X= 20

X + 4 = 24 which is the average after 25th innings

Answer 2

The average after the 25th inning is (A) 24.

Given: A batsman scores 120 runs in the 25th inning and thus increases his average by 4.

To Find: The average after the 25th inning.

Solution:

Let the average of 24 innings be 'x'.

Total runs scored in 24 innings = 24x

Runs scored in the 25th inning = 120

According to the conditions, we frame an equation of a new average;

( 24x + 120 ) / 25 = x + 4    [As it is said that the average increases by 4]

⇒ 24x + 120 = 25x + 100

⇒ 25x - 24x  = 120 - 100

⇒ x = 20

So, the old average is 20.

Hence, the new average is = 20 + 4 = 24

The average after the 25th inning is (A) 24.

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