A batsman makes a score of 87 runs in the 17th match and thus increase

1.	A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match1. 362. 373. 384. 39
Answer» Correct Answer - Option 4 : 39 Given: Score in 17^th match = 87 In 17^th match increase in average is 3 Formula used: Average = Sum of observations/Number of observations Calculation: Let the initial average be x New average = x + 3 x + 3 = {(16 × x) + 87}/17 ⇒ 17x + 51 = 16x + 87 ⇒ 17x – 16x = 87 – 51 ⇒ x = 36 ⇒ New average = 36 + 3 = 39 ∴ His average after 17th match is 39.

A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match1. 362. 373. 384. 39

Answer» Correct Answer - Option 4 : 39

Given:

Score in 17^th match = 87

In 17^th match increase in average is 3

Formula used:

Average = Sum of observations/Number of observations

Calculation:

Let the initial average be x

New average = x + 3

x + 3 = {(16 × x) + 87}/17

⇒ 17x + 51 = 16x + 87

⇒ 17x – 16x = 87 – 51

⇒ x = 36

⇒ New average = 36 + 3 = 39

∴ His average after 17th match is 39.

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A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match1. 362. 373. 384. 39

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