# A batsman in his 16th innings makes a score of 60 runs. This increases his average by 3. Find his average after the 16th innings.

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A batsman in his 16th innings makes a score of 60 runs. This increases his average by 3. Find his average after the 16th innings.

1. 20 runs
2. 18 runs
3. 12 runs
4. 14 runs
5. 15 runs

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Correct Answer - Option 5 : 15 runs

Given:

A batsman’s 16th innings score = 60 runs

The average increases by = 3

Calculation:

Let the average after 16th innings be x

The average after 15th innings = (x – 3)

∴ According to the question:

⇒ 16x = 15 (x – 3) + 60

⇒ 16x = 15x – 45 + 60

⇒ 16x – 15x = 15

⇒ x = 15

∴ the batsman’s average after his 16th innings is 15 runs.