SOLUTION: two positive numbers have a difference of 2. their reciprocals have a sum of 20/21. what are the numbers

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Question 238452: two positive numbers have a difference of 2. their reciprocals have a sum of 20/21. what are the numbers
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!


From eq. 1

Substitute into eq. 2,

Multiply by


Multiply by





Two solutions:


.
.


Since the solution only allows positive numbers, we'll only use B=3/2.
Now solve for A.


Check the solution.




The solution checks out.

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