The product of two numbers is 814. The sum is fifty-nine.What is the difference of these two numbers? A. 13 B. 15 C. 17 D. 19

To solve this problem, we need to set up two equations based on the information given.

Let's denote the two numbers as x and y.

From the problem, we know that:

1. x*y = 814 (The product of the two numbers is 814)
2. x + y = 59 (The sum of the two numbers is 59)

We can solve these two equations simultaneously to find the values of x and y.

First, let's solve the second equation for y:

y = 59 - x

Now we can substitute y in the first equation:

x * (59 - x) = 814 59x - x^2 = 814 x^2 - 59x + 814 = 0

This is a quadratic equation, and we can solve it using the quadratic formula:

x = [59 ± sqrt((59)^2 - 41814)] / (2*1) x = [59 ± sqrt(3481 - 3256)] / 2 x = [59 ± sqrt(225)] / 2 x = [59 ± 15] / 2

So the solutions are x = 37 and x = 22.

The difference between these two numbers is 37 - 22 = 15.

So, the answer is B. 15.