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

Home > Just Math
Distinct Values Validation (Posted on 2014-10-16) Difficulty: 3 of 5
Each of x, y and z is a nonnegative integer such that:

(i) x+y+z = 94, and:
(ii) H = 4x+10y+19z

How many distinct values of H is possible?

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: Simplified, no solution | Comment 5 of 7 |
(In reply to Simplified, no solution by Jer)

Even though Jer's simplification significantly reduces the burden of solving analytically, one will still be left with 95 simple sets  of equations like:

(i) y+z =k      k<95,
(ii) G = 2y + 5*(k-y)   each set creating a subset of possible G,

then creating the union of various solutions to avoid duplicity and then returning to linear translation  to get H.

Clearly, this is a proper puzzle for a heuristic exhaustive program and any shortcuts are not needed.
 


  Posted by Ady TZIDON on 2014-10-16 13:20:08
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 (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information