Word Problems (system of equations)

Let's say the smaller of the two numbers is x. The larger of the two must be x + 22.

So, x + x + 22 = 2x + 22 = 84.

Subtract 22 from both sides to get 2x = 62.

Divided by 2 to get x = 31.

So the two numbers are 31 and 31 + 22 = 53.