Two numbers have a sum of 25 and a difference of 13. What is the product of these two numbers?

Explanation

Let the two numbers be x and y. Given x + y = 25 and x - y = 13. Using the identity (x + y)^2 - (x - y)^2 = 4xy, we have 4xy = 25^2 - 13^2 = 625 - 169 = 456. Dividing both sides by 4 gives xy = 114.