SOLUTION: Two positive numbers differ by 11, and their square roots differ by 1. Find the numbers
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Question 242050: Two positive numbers differ by 11, and their square roots differ by 1. Find the numbers
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the larger of the two positive numbers. Let 
represent the smaller.
We know their difference is 11, so:
We know the difference of their square roots is 1, so:
Add 
to both sides of the second equation:
Square both sides
Substitute this value for into the first equation:
\ -\ y\ =\ 11)
Simplify:
And solve:
is a positive number, so so far, so good. Substitute this value into the first equation:
\ =\ 11)
Check:
John
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