SOLUTION: The difference of two positive numbers is 5 and the sum of their squares is 233. What are the numbers?

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Question 860225: The difference of two positive numbers is 5 and the sum of their squares is 233. What are the numbers?
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The difference of two positive numbers is 5 and the sum of their squares is 233. What are the numbers?
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Equations:
x - y = 5
x + y = 233
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Add and solve for "x":
2x = 238
x = 119
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Solve for "y":
x + y = 233
119 + y = 233
y = 114
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Cheers,
Stan H.
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

x - y = 5   0r  x = y%2B5

x^2 + y^2 = 233

(y+5)^2 + y^2 = 233

 2y^2 + 10y + 25 = 233

2y^2 + 10y - 208+ 0

 y^2 + 5y - 104 = 0

(y +  13)(y - 8) = 0   (Tossing out the negative solution )

       y = 8  and x = 13

CHECKING our answer***

169 + 64 = 233

Wish You the Best in your Studies.