SOLUTION: Find the pair of positive integers that satisfy both of these conditions: The smaller integer is 10 less than the larger integer. The sum of the squares of the integers is 250.

Question 850607: Find the pair of positive integers that satisfy both of these conditions:
The smaller integer is 10 less than the larger integer.
The sum of the squares of the integers is 250.
Answer by 1335(25) (Show Source): You can put this solution on YOUR website!
Let's call the smaller integer "x".
We know that x+10 is equal to the larger integer.
So we can then say that: x+x+10=250
Now simplify this equation to: 2x=240
Now solve: x=120
Now add 10 to find the larger integer: 130
The two integers are 120 and 130
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