A batsman has an average score of 45 in 10 innings. He played two consecutive innings in a test match and scored 80 in the 11th innings. After that his average score increases by 5 runs. How many runs did he score in his 12th innings?

A batsman has an average score of 45 in 10 innings. He played two consecutive innings in a test match and scored 80 in the 11th innings. After that his average score increases by 5 runs. How many runs did he score in his 12th innings? Correct Answer 70 runs

Given:

Average score of the bastman after 10 innings = 45 runs

In the 11th innings, he scored = 80 runs

Increase in his average after 2 more innings = 5 runs

Calculations:

Let’s consider, he scored x runs in 12^th innings

Total run in 10 innings = (45 × 10) = 450 runs

Score in last two innings = (x + 80) runs

According to the questions,

(50 × 12) – (80 + x) = 450

Or, 600 – 80 – x = 450

Or, x = 520 – 450