SOLUTION: The difference of two positive numbers is 3 and their difference of their squares is 69. Find the numbers.

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Question 1059723: The difference of two positive numbers is 3 and their difference of their squares is 69. Find the numbers.
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
The difference of two positive numbers is 3 and their
difference of their squares is 69. Find the numbers.



Factor the left side of the second equation:



Use the first equation to substitute 3 for (x-y)



Divide both sides by 3



Our system of equations is now:



Add the equations term by term:





Substitute in 









Answer: 13 and 10

Edwin
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