SOLUTION: One number is three more than another number. The sum of their squares is 45. Find the numbers

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Question 1126487: One number is three more than another number. The sum of their squares is 45. Find the numbers
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
3 & 6
-6 & -3

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28y-x=3%2Cy%5E2%2Bx%5E2=45%29

%28y-x%29%5E2=3%5E2
y%5E2-2yx%2Bx%5E2=9
-2yx%2B45=9
-2yx=-36
yx=18


Now find two numbers differ by 3, product of 18.
2*9, no.
3*6, yes.

Numbers 3 and 6.