SOLUTION: the sum of two numbers is 20 and their product is 75 what is the sum of their reciprocal please solve it

Algebra.Com
Question 889115: the sum of two numbers is 20 and their product is 75 what is the sum of their reciprocal please solve it
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let the numbers be and
(1)
(2)
-------------------
(1)
Substitute this into (2)
(2)
(2)
(2)
I see by looking at this:
(2)

and
(1)
(1)
------------------

answer
------------------------
If I had chosen


then and
just swap places

RELATED QUESTIONS

The sum of 2 numbers is 20 and their product is 75. What are the 2... (answered by jorel555,stanbon)
The sum of two numbers is 20. Find the numbers and their product if their product is a... (answered by math_helper)
Find two numbers such that their difference is equal to their product and the sum of... (answered by MathLover1)
the sum of two numbers is 77 and their difference is 31. what is their... (answered by TimothyLamb)
The product of two numbers is 36 and their sum is 37. What is their difference... (answered by addingup)
The sum of two numbers is 20 and their product is 15. find the sum of their... (answered by ewatrrr)
The sum of two numbers is 20. What is their greatest possible... (answered by stanbon)
if the sum of two numbers is 10 and their product is 5 what is the sum of their... (answered by josgarithmetic)
The sum ot two numbers is 6 and their product is 7. What is the sum of their... (answered by richard1234)