Question

The difference of two numbers is 1. their sum is 19. find the numbers.

Answer 1

The numbers are 9 and 10. Add to get a sum of 19, but subtract to get a difference of 1.

Explanation:

Answer 2

x = 10

y = 9

Explanation:

First, you need to write two equations that represent the information given. I'm going to set the two numbers and x and y.

x - y = 1

x + y = 19

This turns it into a systems of equations. When you add the two equations, keeping everything on each side, you eliminate a variable, and solve for the other.

2x = 20

x = 10

Now, you'd plug x into either original equation.

(10) - y = 1

-y = -9

x = 10

I hope this helped!