The difference of two numbers is 8. Their quotient is 9. What are the two numbers?

Let's denote the two numbers as x and y.

From the problem, we have two equations:

1. x - y = 8 (since the difference of the two numbers is 8)

2. x / y = 9 (since their quotient is 9)

We can solve this system of equations step by step:

Step 1: From equation 2), we can express x as x = 9y.

Step 2: Substitute x in equation 1) with 9y, we get 9y - y = 8, which simplifies to 8y = 8.

Step 3: Solve for y, we get y = 1.

Step 4: Substitute y = 1 into equation 2), we get x = 9 * 1 = 9.

So, the two numbers are 9 and 1.