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

Home > Just Math
LCM and GCD Equation (Posted on 2016-05-03) Difficulty: 3 of 5
Find all triplets (X,Y,Z) of positive integers that satisfy this system of equations:

lcm(X,Y,Z) + Y +Z = 426, and:

X + gcd(X,Y,Z) + Z = 66, and:

X+Y+Z =90

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
(X, Y, Z) = (24, 30, 36), and (42, 27, 21) are the required solutions to the given system of equations.

For an explanation, refer to the computer program assisted solution submitted by Charlie in this location..

Armando's analytic solution here only gives the first triplet, that is: (24,30,36)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
google indexing issuesbelomiy62024-12-23 03:54:47
No SubjectAngel172024-11-20 00:59:00
Some Thoughtsre: SEOK Sengupta2024-04-07 07:40:08
SEOSEOCompany2024-04-07 03:40:25
No SubjectK Sengupta2024-03-06 07:18:58
No SubjectK Sengupta2024-03-06 07:18:51
SEOSEOCompany2024-03-06 06:20:00
No SubjectK Sengupta2024-03-06 05:38:43
No SubjectK Sengupta2024-03-06 05:38:33
No SubjectK Sengupta2024-03-06 05:38:24
SEOSEOCompany2024-03-06 00:42:07
No SubjectSEOCompany2024-03-05 04:25:36
No SubjectK Sengupta2024-03-04 23:30:38
No SubjectK Sengupta2024-03-04 23:30:28
No SubjectK Sengupta2024-03-04 23:30:20
SEOSEOCompany2024-03-04 11:52:06
No SubjectK Sengupta2024-03-04 07:03:39
No SubjectK Sengupta2024-03-04 07:03:39
No SubjectK Sengupta2024-03-04 07:03:32
seoSEOCompany2024-03-04 01:36:00
No SubjectK Sengupta2024-02-29 08:57:10
No SubjectK Sengupta2024-02-29 08:57:10
No SubjectK Sengupta2024-02-29 08:57:10
No SubjectK Sengupta2024-02-29 08:57:10
No SubjectK Sengupta2024-02-29 08:57:10
No SubjectK Sengupta2024-02-29 08:57:10
No SubjectK Sengupta2024-02-29 08:57:10
No SubjectK Sengupta2024-02-29 08:56:09
SEOSEOCompany2024-02-29 08:43:49
No SubjectK Sengupta2024-02-28 02:07:09
No SubjectK Sengupta2024-02-28 02:07:01
SEOSEOCompany2024-02-28 01:56:41
No SubjectK Sengupta2024-02-26 03:06:13
No SubjectK Sengupta2024-02-26 03:06:05
seoSEOCompany2024-02-26 01:26:16
No SubjectK Sengupta2024-02-21 05:28:40
No SubjectK Sengupta2024-02-21 05:28:32
No SubjectK Sengupta2024-02-21 05:28:26
SEOSEOCompany2024-02-21 00:39:49
SEOSEOCompany2024-02-21 00:27:38
No SubjectK Sengupta2024-02-20 01:13:38
No SubjectK Sengupta2024-02-20 01:13:29
SEOSEOCompany2024-02-19 07:56:17
SEOSEOCompany2024-02-19 06:57:56
No SubjectK Sengupta2024-02-16 03:16:24
SEOSEOCompany2024-02-16 00:35:24
No SubjectK Sengupta2024-02-15 08:29:13
SEOSEOCompany2024-02-15 06:11:34
No SubjectK Sengupta2024-02-13 06:28:31
tradesviz avisSEOCompany2024-02-13 03:07:58
No SubjectK Sengupta2024-02-12 04:44:44
No SubjectK Sengupta2024-02-12 04:44:36
waniaCecilia2024-02-12 03:13:59
SEOSEOCompany2024-02-12 00:19:51
No SubjectK Sengupta2024-02-11 09:04:43
No SubjectK Sengupta2024-02-11 09:04:43
No SubjectK Sengupta2024-02-11 09:04:43
No SubjectK Sengupta2024-02-11 09:04:43
No SubjectK Sengupta2024-02-11 09:03:40
SEOSEOCompany2024-02-11 08:14:40
No SubjectK Sengupta2024-02-10 06:29:07
SEOSEOCompany2024-02-10 02:05:15
No SubjectK Sengupta2024-02-08 07:26:09
SEOSEOCompany2024-02-08 04:10:38
No SubjectK Sengupta2024-01-30 03:52:22
SEOSEOCompany2024-01-30 01:09:29
No SubjectK Sengupta2024-01-28 06:06:21
SEOSEOCompany2024-01-28 03:46:52
No SubjectK Sengupta2024-01-26 09:14:06
SEOSEOCompany2024-01-26 07:35:31
No SubjectK Sengupta2024-01-25 11:28:14
SEOSEOCompany2024-01-25 08:30:56
No SubjectK Sengupta2024-01-23 07:45:33
SEOSEOCompany2024-01-23 01:11:44
No SubjectK Sengupta2024-01-14 03:45:47
seoSEOCompany2024-01-14 01:16:33
No SubjectK Sengupta2024-01-12 04:00:39
SEOSEOCompany2024-01-12 02:13:12
No SubjectK Sengupta2024-01-11 02:05:37
SEOSEOCompany2024-01-11 00:37:11
No SubjectK Sengupta2024-01-08 17:57:25
SEOSEOCompany2024-01-08 11:25:46
No SubjectK Sengupta2024-01-08 09:26:29
signnowSEOCompany2024-01-08 08:33:22
No SubjectK Sengupta2024-01-07 09:58:35
SEOSEOCompany2024-01-07 00:08:33
No SubjectK Sengupta2024-01-05 02:30:59
No SubjectK Sengupta2024-01-05 02:30:49
SEOSEOCompany2024-01-05 02:15:04
waniaCecilia2023-12-29 14:03:56
No SubjectK Sengupta2023-12-27 06:38:08
SEOSEOCompany2023-12-27 02:52:05
No SubjectK Sengupta2023-12-26 07:02:12
SEOSEOCompany2023-12-26 06:03:04
No SubjectK Sengupta2023-12-25 21:28:01
SEOSEOCompany2023-12-25 01:40:28
No SubjectK Sengupta2023-12-20 19:51:03
SEOSEOCompany2023-12-20 02:23:50
No SubjectK Sengupta2023-12-18 04:32:30
ร้านเหล้าอุบลSEOCompany2023-12-18 01:24:18
No SubjectK Sengupta2023-12-16 03:45:37
SEOSEOCompany2023-12-15 04:21:39
No SubjectK Sengupta2023-12-13 07:44:16
No SubjectSEOCompany2023-12-12 09:36:38
No SubjectK Sengupta2023-12-05 09:05:01
pdf converterSEOCompany2023-12-05 02:34:25
No SubjectK Sengupta2023-11-27 08:03:55
aniwatchSEOCompany2023-11-27 04:25:28
No SubjectK Sengupta2023-11-26 06:07:38
SEOSEOCompany2023-11-26 00:55:49
Some ThoughtsNo SubjectK Sengupta2023-11-23 05:41:08
SEOSEOCompany2023-11-23 04:32:39
No SubjectK Sengupta2023-11-21 21:50:57
www.signnow.com/esignature/esignature-for-insuranceSEOCompany2023-11-21 09:40:38
No SubjectK Sengupta2023-11-20 10:39:39
No SubjectK Sengupta2023-11-20 10:39:31
seoSEOCompany2023-11-20 04:41:47
SEOSEOCompany2023-11-19 09:20:27
No SubjectK Sengupta2023-11-18 10:09:22
No SubjectK Sengupta2023-11-18 10:09:14
No SubjectSEOCompany2023-11-18 06:08:06
SEOSEOCompany2023-11-18 01:19:41
No SubjectK Sengupta2023-11-09 10:07:11
airslate.com/bots/basecampSEOCompany2023-11-09 08:54:55
No SubjectK Sengupta2023-11-08 20:54:46
SEOSEOCompany2023-11-08 07:07:59
No SubjectK Sengupta2023-11-05 06:57:21
signnowSEOCompany2023-11-05 01:44:48
No SubjectK Sengupta2023-10-25 09:32:32
No SubjectK Sengupta2023-10-25 09:32:20
Box Integration BotsSEOCompany2023-10-25 04:08:58
No SubjectSEOCompany2023-10-18 09:12:16
No SubjectK Sengupta2023-10-17 14:23:38
SimonWhiteheadSEOCompany2023-10-17 02:59:22
ร้านกาแฟอุบลSEOCompany2023-10-06 03:13:51
No SubjectK Sengupta2023-10-05 07:58:16
seoSEOCompany2023-10-05 03:55:15
No SubjectSEOCompany2023-09-28 05:01:02
No SubjectK Sengupta2023-09-26 07:48:05
signnowSEOCompany2023-09-25 14:31:09
eSignature for HealthcareSEOCompany2023-09-24 09:54:39
seoSEOCompany2023-09-12 11:01:38
No SubjectK Sengupta2023-09-11 07:35:31
www.signnow.com/esignature/otherSEOCompany2023-09-11 04:36:28
signnowSEOCompany2023-09-11 04:35:59
immobilienmakler emslandSEOCompany2023-09-04 01:58:40
No SubjectSEOCompany2023-09-01 02:09:09
No SubjectSEOCompany2023-08-31 09:22:44
re(2): seoSEOCompany2023-08-31 03:31:52
No SubjectK Sengupta2023-08-30 21:58:58
pencil packing jobSEOCompany2023-08-30 10:15:07
re: seoSEOCompany2023-08-30 05:44:28
seoSEOCompany2023-08-23 01:39:25
re: waniaSEOCompany2023-08-23 01:38:45
No SubjectK Sengupta2023-08-22 09:22:27
Minecraft MOTD CreatorCecilia2023-08-22 06:34:53
No SubjectK Sengupta2023-08-21 23:59:26
HenryCecilia2023-08-21 11:26:23
waniaCecilia2023-08-21 05:59:28
Moving Head WashCecilia2023-08-20 10:50:14
No SubjectK Sengupta2023-08-18 08:04:54
waniaCecilia2023-08-18 04:28:46
No SubjectK Sengupta2023-08-16 22:47:12
seoexpertCecilia2023-08-16 07:33:32
think and tryarmando2016-05-04 04:54:42
Solutioncomputer solutionCharlie2016-05-03 19:05:37
 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 (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:

blackjack

flooble's webmaster puzzle

Copyright © 2002 - 2025 by Animus Pactum Consulting. All rights reserved. Privacy Information