SOLUTION: one number is 5 more than another and the difference of their squares is 30.What are the two numbers?

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Question 632626: one number is 5 more than another and the difference of their squares is 30.What are the two numbers?
Found 2 solutions by ewatrrr, richwmiller:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
one numberhighlight%28y%29 is 5 more than anotherhighlight%28x%29
Question states*** the difference of their squares is 30
y^2 - x^2 = 30 | y = (x+5)
(x+5)^2 - x^2 = 30
x^2 +10x + 25 - x^2 = 30
10x = 5
x = .5, the smaller number. 5.5 the large number y.
and...
%285.5%29%5E2+-+%28.5%29%5E2=++30.25+-+.25+=+30

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x=y+5;
x^2-y^2=30
x=5.5=11/2
y=.5=1/2