The sum of the 2 numbers is 18 the difference is 8

Answer 1

When we write out the system of equations, we will get:

 

x+y=18

x-y=8

 

We can then use elimination to get just one variable.

 

  x+y=18

+x-y=  8

 

Which gives us:   2x=26

 

We then divide by 2 and get:    x=13

 

We next plug that into one of the two equations and solve for the other variable:    (13)+y=18

 

We subtract 13 from both sides and get:   y=5

 

So the two numbers are 13 and 5.