perplexus.info :: Numbers : Algebra busters

Algebra busters (Posted on 2020-04-22)

Find the number of solutions to the system of equations:

k₁+k₂+k₃+...+k_n=5n-4
1/k₁+1/k₂+1/k₃+...+1/k_n=1

where k₁,k₂,k₃,...,k_n and n are positive integers.

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Answer	K Sengupta	2022-05-25 03:06:25
Solution	Brian Smith	2021-10-22 12:16:36
Full solution with explanation	FrankM	2020-05-09 22:04:36
Idea (Hasn't taken me anywhere much, yet)	FrankM	2020-05-05 21:52:50
thoughts	FrankM	2020-04-26 23:15:06
Possible solution	broll	2020-04-23 01:56:01

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (23)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info