SOLUTION: Please help me solve this problem: The sum of the reciprocals of two numbers is 7 and the difference of their reciprocals is 3. What are the number? Thanks..

Question 585595: Please help me solve this problem:
The sum of the reciprocals of two numbers is 7 and the difference of their reciprocals is 3. What are the number?
Thanks..
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the numbers be and
given:
(1)
(2)
------------------
Just add the equations

and
(1)
(1)
(1)
(1)
The numbers are 1/5 and 1/2
RELATED QUESTIONS
please help me solve this problem!! The sum and the difference of the reciprocals of the (answered by solver91311)

The difference between two numbers is 8 and twice the sum of their reciprocals are equal... (answered by amarjeeth123)

The sum of the reciprocals of two numbers is 7 and the difference of the reciprocals is... (answered by mananth,Theo,greenestamps)

the difference of two numbers is the same as their product, and the sum of their... (answered by josgarithmetic)

The difference of two numbers is 4 and the sum of their reciprocals is 3/8. Find the... (answered by shree840)

The sum of two numbers is 15 and the difference of their reciprocals is 1/10. Find the... (answered by shree840)

The sum of the reciprocals of two numbers is 14. The difference of their reciprocals is... (answered by htmentor)

PLEASE HELP ME!! Find two numbers whose sum is 25 and the sum of whose reciprocals is... (answered by amoresroy)

The sum of two numbers is 14 and the sum of their reciprocals is 7/24. Find the... (answered by checkley71)