Step 1 :Set up the equations as \(x*y=20\) and \(x+y=12\).
Step 2 :Solve the equations by substituting \(y=20/x\) into the second equation and then solve for x.
Step 3 :Once we have the value of x, substitute it back into the equation \(y=20/x\) to get the value of y.
Step 4 :The solution is \(x=2\) and \(y=10\).
Step 5 :Final Answer: The two numbers are \(\boxed{2}\) and \(\boxed{10}\).