If the sum of two numbers is 50 and their product is 500, what are the numbers?
Correct: B
Let the two numbers be x and y. We are given that their sum is 50, so x + y = 50. We are also given that their product is 500, so xy = 500. We can solve these equations simultaneously to find the values of x and y. Rearranging the first equation gives y = 50 - x. Substituting this into the second equation gives x(50 - x) = 500. Expanding this equation gives 50x - x^2 = 500. Rearranging this equation gives x^2 - 50x + 500 = 0. Factoring this equation gives (x - 25)(x - 25) = 0, so x = 25. Therefore, y = 50 - x = 50 - 25 = 25. Hence, the two numbers are 25 and 25.