Explanation:

- We start with the ratio of two numbers being 4:5. Let the numbers be 4x and 5x.

- When 1 is subtracted from the first number (4x - 1), and 2 is added to the second number (5x + 2), the ratio becomes 3:4:

As per above condition

= (4x-1)/(5x+2)= 3/4

- Solving the above equation, we find the value of x=10.

- Once $x$ is known, calculate the original numbers: $4x$ and $5x$.

- Add 8 to the first number and 4 to the second: $4x+8$ and $5x+4$.

- Find the new ratio replacing x in above equation

=48/54

= 8/9

Hence option 2 is correct