perplexus.info :: Just Math : LCM and GCD Equation

LCM and GCD Equation (Posted on 2016-05-03)

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

See The Solution Submitted by K Sengupta

Rating: 5.0000 (2 votes)

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

re: No Subject

| Comment 171 of 172 |

(In reply to No Subject by gogoanime)

Puzzles like these really make you think! Just like how some anime series have complex plots that keep you guessing. If you're into anime with deep stories, you might enjoy watching them on Watch Kissanime videos Any recommendations for anime with mind-bending twists

Posted by jack on 2025-03-27 16:33:27

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info