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

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Question 981796: One number is 5 more than another. The difference between their squares is 165. What are the numbers
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Make one of the numbers = 'x'
So, x and x + 5
Difference between their squares is 165
(x + 5)^2 - (x)^2 = 165
x^2 + 10x + 25 - x^2 = 165
Collect like terms
x^2 - x^2 + 10x = 165 - 25
10x = 140
x = 14
Proof:
(19)^2 - (14)^2 = 165
361 - 196 = 165
165 = 165
Hope this helps:-)