All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Set of triplets (Posted on 2008-05-08) Difficulty: 2 of 5

A2 + B2 = C2

where A=n*X, B=n*(X+1) and C=n*Y.

Determine triples (A,B,C) which satisfy the constraints of n,X,Y noting that A, B and C are all 3 digit numbers when n is 1 through 5.

  Submitted by brianjn    
Rating: 2.0000 (1 votes)
Solution: (Hide)
A is 119.
n        A       B       C
1	119	120	169
2	238	240	338
3	357	360	507
4	476	480	676
5	595	600	845
You may reference this off-site at: http://www.research.att.com/~njas/sequences/A001653

Let me not ignore the contribution of Dej Mar.

The initial intent of the problem was for a series, from 1 to 5, which had a base of A [119].

By accepting advice on edits pre-publishing, my intent was left a little compromised. I shall leave my intended solution in place but note Dej Mar and my following comment.

Whilst editing this Dej Mar has 'very nicely' added negative values to his solution!

Now that is interesting, "Would Pythagoras have built a pyramid with a negative distance?"

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle AnswerK Sengupta2023-08-27 08:49:48
re(3): Start the ball rolling...?brianjn2008-05-09 22:45:01
re(2): Start the ball rolling...?ed bottemiller2008-05-09 10:19:29
re: solutionbrianjn2008-05-09 01:23:52
SolutionsolutionDej Mar2008-05-08 23:45:38
solutionDaniel2008-05-08 22:11:51
re: Start the ball rolling...?brianjn2008-05-08 21:12:26
Start the ball rolling...?ed bottemiller2008-05-08 15:48:22
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 (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information