The quotient of two numbers is 2. The sum of the two numbers 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 = 2 (This is given by "The quotient of two numbers is 2")
2. x + y = 9 (This is given by "The sum of the two numbers is 9")

We can solve these two equations step by step:

Step 1: From equation 1), we can express x in terms of y: x = 2y

Step 2: Substitute x = 2y into equation 2), we get: 2y + y = 9, which simplifies to 3y = 9

Step 3: Solve for y: y = 9/3 = 3

Step 4: Substitute y = 3 into equation 1), we get: x = 2*3 = 6

So, the two numbers are 6 and 3.