Question

Two numbers have a sum of 1208 and a difference of 186. What are the two numbers?

Answer 1

Answer:

Creating equations:

x + y = 1208

x - y = 186

Solving for one equation:

Now you can solve for one of the variables by taking either equation. I will use the first equation to solve for  x.

x + y = 1208

x = 1208 - y

Substitution:

Take the above solved equation and substitute it to the x - y = 186 (second equation)

1208 - y - y = 186

1208 - 2y = 186

-2y = -1022

y = 511

Substitution:

Since we have found y, let's substitute it to find x.

x = 1208 - y

x = 1208 - 511

x = 697

The two numbers are 697 and 511.