The sum of two numbers is 27 and their difference is 3

Answer 1

Hello!

So let's call those numbers x and y, and write equations based on the problem statements:

1. "The sum of two numbers is 27" means x + y = 27
2. "and their difference is 3" means x - y = 3

You have two equations and two variables. You could add both equations to eliminate y. You'd get:

2x = 30 so x = 15

Replace x by 15 in either equation to solve for y:

15 + y = 27

I'll let you solve that equation for y. Once you do, 15 and the number you find will be the solutions to the problem you posted.