SOLUTION: The sum of two numbers is 60, and the sum of their reciporcals is 5/72. What are the numbers?
Algebra.Com
Question 387457: The sum of two numbers is 60, and the sum of their reciporcals is 5/72. What are the numbers?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of two numbers is 60, and the sum of their reciprocals is 5/72. What are the numbers?
----------------------
Equations:
x + y = 60
1/x + 1/y = 5/72
-----
x = 60-y
----
Substitute for "x" and solve for "y":
1/(60-y) + 1/y = 5/72
---
72y + 72(60-y) = 5y(60-y)
---
72*60 = 300y-5y^2
----------------
5y^2-300y+72*60 = 0
---
y^2-60y+12*72 = 0
(y-36)(y-24) = 0
y = 36 or y = 24
========================
If y = 36, x = 24
If y = 24, x = 36
--------------------------
cheers,
stan H.
RELATED QUESTIONS
The sum of two numbers is 41 and their difference is 5. What are the... (answered by checkley79)
The sum of the reciprocals of two numbers is 4/15 and their product is 60. what are the... (answered by mananth)
one number is two-thirds of another. their sum is 60? what are the two... (answered by MathLover1)
Two numbers have a sum of 47 their difference is 5. what are the two... (answered by drj)
The sum of two numbers is 21 and their difference is 5. What are the... (answered by rajgahir,mananth)
the sum of two numbers is 21 and their difference is 5 what are the two numbers
(answered by Alan3354)
The sum of two numbers is 39 and their difference is 7. What are the... (answered by ptaylor)
The sum of two numbers is 39 and their difference is 7. What are the... (answered by checkley71)
the sum of two numbers is 64 and their difference is 18.what are the... (answered by stanbon)