What two numbers have a sum of 30 and a product of 200?

Let's denote the two numbers as x and y. We know that x + y = 30 and xy = 200. To solve this system of equations, we can substitute y = 30 - x into the second equation. This gives us x(30 - x) = 200. Simplifying, we get x^2 - 30x + 200 = 0. By solving this quadratic equation, we find that the two numbers are 20 and 10.