Verified answer

Step-by-step explanation:

Let's solve this math problem step by step. We know that the ratio of A's age to B's age is initially 2:3. Then, after 6 years, the ratio becomes 8:11.

To find B's present age, we can set up an equation using the given information. Let's say B's present age is x.

According to the ratio, A's present age would be (2/3) * x.

After 6 years, B's age would be x + 6, and A's age would be (2/3) * x + 6.

Now, we can set up the equation:

(x + 6) / ((2/3) * x + 6) = 8/11

To solve this equation, we can cross-multiply:

11(x + 6) = 8((2/3) * x + 6)

Simplifying further, we get:

11x + 66 = (16/3)x + 48

Now, we can solve for x:

11x - (16/3)x = 48 - 66

(33/3)x - (16/3)x = -18

(17/3)x = -18

Multiplying both sides by 3/17:

x = -54/17

Since age cannot be negative, we can disregard this solution.

Therefore, there seems to be an error in the problem. Please double-check the given information.