SOLUTION: The sum of the reciprocals of two numbers is 3/2, and the difference of their rciprocals is 5/12. what are the two numbers
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Question 581781: The sum of the reciprocals of two numbers is 3/2, and the difference of their rciprocals is 5/12. what are the two numbers
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The sum of the reciprocals of two numbers is 3/2, and the difference of their reciprocals is 5/12.
what are the two numbers
:
+ =
+ =
and
- =
-------------------------adding eliminates b, find a
=
Cross multiply
23a = 2*12
23a = 24
a =
Find b
+ =
= -
= -
=
cross multiply
13b = 24
b =
:
:
Check this in the 2nd original equation
- = =
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