SOLUTION: The difference of 2 possitive integes is 3.& the sum of their square is 89. What are the number????

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Question 1089730: The difference of 2 possitive integes is 3.& the sum of their square is 89.
What are the number????

Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
Let a be the larger of the two numbers, and b the smaller.
(1)
(2)
(1) —> a = b+3 , substitute this for a in (2):


which will reduce to
So b=5 (ignore the potential solution b=-8 because b>0)
and a=b+3 = 8

Ans: and

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