expanding a word problem equation

[immakirstin]

One number is two more than another. The difference between their squares is 60. What are the numbers?

So far I've written out this: (x+2)^2-(x)^2=60

I've tried expanding it any way i possibly can and I've always come up with the wrong answer after this. Our book didn't give us any examples about how to expand a word problem with the DIFFERENCE of something, only the SUM. So I really really hope I can get some help!

 

[BigGlenntheHeavy]

Let x be the larger number and y be the smaller number, then x = y+2 and \(\displaystyle x^2-y^2 \ = \ 60,\) solve the system

 

[Denis]

One number is two more than another. The difference between their squares is 60. What are the numbers?
So far I've written out this: (x+2)^2 - (x)^2 = 60

That's CORRECT.
Expand (x+2)^2: x^2 + 4x + 4 : remember that (a+b)^2 = a^2 + 2ab + b^2
So: x^2 + 4x + 4 - x^2 = 60
Finish it.