A cricketer scored 100 runs in his 11th test match. As a result, his batting average increased by 5. What is his current average?

Let the average after 10 matches = $x$

So, total runs after 10 matches = $10x$

In the 11th match, he scores 100 runs
New average increases by 5 → new average = $(x + 5)$

Total runs after 11 matches = $11(x + 5)$

Form equation:
$10x + 100 = 11(x + 5)$

$10x + 100 = 11x + 55$

$100 - 55 = x$

$x = 45$

Current average = $x + 5 = 50$