Explanation:

Alright, let’s break it down:

- The age ratio of A to B now is 4:5. So, A = 4x and B = 5x for some number x.

- Two years from now (A will be 4x + 2), and we’re told that’s 1 and 2/11 (so, 13/11) times what B was 8 years ago (i.e., B’s age then was 5x - 8).

- Let’s set that up:

4x + 2 = (13/11) × (5x - 8)

- Multiply both sides by 11 to clear the fraction:

11(4x + 2) = 13(5x - 8)

44x + 22 = 65x - 104

- Get x terms together:

65x - 44x = 22 + 104

21x = 126

x = 6

- A’s present age = 4x = 24 years.

Here’s the thing—you went with option 4, which is 24 years.

So,

Option 4: 24 years is correct.