perplexus.info :: Just Math : More Harmonic Integers

More Harmonic Integers (Posted on 2007-03-12)

Determine three positive integers x, y and z in harmonic sequence such that x<y<z, xy=z, and (x, y, z-72) are in arithmetic sequence.

See The Solution Submitted by K Sengupta

Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

spoiler

| Comment 1 of 3

x=7

y=13

z=91

expressing in x we get x 2*x-1 2*x^2-x-72

as members of arithm. progression.

solving - we get the values as above

Posted by Ady TZIDON on 2007-03-12 08:26:48

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info