The sum of two numbers is twelve. One number is eight less than the other. Find the numbers.

10 and 2

Step-by-step explanation:

One number is 8 less than the other.

10+2=12

10-8=2

10+2=12

10 and 2

Step-by-step explanation:

Let's call the first number x and he second number y. This will make the equation set up process easier.

Since the sum of the two numbers is 12, you could make the first equation: x+y=12

One number is less than the other so the next equation would be: y=x-8

You can substitute y in the first equation to have x + (x-8) = 12

Add the two x's to have 2x and add 8 from both sides (add 8 to both the 12 and 8 to get it to the opposite side of the equal sign to x. This would look like: 2x=20.

Divide 2 by both sides to get 10.

Now you can plug in 2 in place of x in the very first equation again and subtract from both sides to get 2.