Question 2 of 4, Step 1 of 1 Find two positive numbers whose difference is 16 and whose product is 561 . Answer How to enter your answer (opens in new window) and

Step 1 ：Set up a system of equations based on the given conditions. The first condition is that the difference between the two numbers is 16, which can be written as \(x - y = 16\). The second condition is that the product of the two numbers is 561, which can be written as \(xy = 561\).

Step 2 ：Solve this system of equations to find the values of x and y.

Step 3 ：The solution set includes two pairs of numbers, (-17, -33) and (33, 17). However, the problem specifies that we are looking for positive numbers. Therefore, the pair (-17, -33) is not a valid solution.

Step 4 ：The pair (33, 17) is the valid solution, where 33 and 17 are the two positive numbers whose difference is 16 and whose product is 561.

Step 5 ：The final answer is: The two positive numbers are \(\boxed{33}\) and \(\boxed{17}\).