SOLUTION: One number is 5 more than another. The difference between their squares is 165. What are the numbers?

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Question 814338: One number is 5 more than another. The difference between their squares is 165. What are the numbers?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x and (x + 5) represent the numbers

x^2 - (x+5)^2 = 165

x^2 - x^2 -10x - 25  = 165

  -10x - 25 = 165

     10x = -190

       x = -19    Numbers -19, -14

CHECKING our Answer***

%28-19%29%5E2+%2B+%28-14%29%5E2 = 165