Question

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

Answer:

44

Step-by-step explanation:

Let the average of 14th innings = x

∴ Average of 15th innings = x+2

Then, 14x+72 = 15(x+2)

⇒ 14x+72 = 15x +30

∴ x = 42

∴ Average for 15th innings = x+2 = 42 + 2 = 44

Answer 2

Answer:

X = 60.

Step-by-step explanation:

Given:- Average score of a batsman after 14th innings is X.

            Runs scored in 15th inning = 120.

            Average score of his runs after 15th innings = X + 4.

To Find:- The value of X.

Solution:-

Average score of a batsman after 14th innings is X.

Average score after 14th innings = Total runs scored till 14th innings ÷ 14

⇒ X = Total runs scored till 14th innings ÷ 14

⇒ Total runs scored till 14th innings = 14X

Acc. to the question,

Average score of his runs after 15th innings = X + 4.

Runs scored in 15th inning = 120.

Average score after 15th innings = Total runs scored till 15th innings ÷ 15

⇒ X + 4 = (14X + 120) ÷ 15

⇒ 15(X + 4) = (14X + 120)

⇒ 15X + 60 = 14X + 120

⇒ 15X - 14X = 120 - 60

⇒ X = 60

Therefore, the value of X = 60.

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