You can put this solution on YOUR website! If the two numbers are x and y, their sum being 64 can be written as
x+y=64
and their difference being 14 can be written as
x-y=14
So we need to solve the system
This system lends itself to the addition method, so let's add the two equations, resulting in
So x=39. To find y, you simply plug in x=39 to either one of the original equations. I will use the first one.
39+y=64
y=25.
So the two numbers are 39 and 25.