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April 22nd, 2014, 12:05 PM  #1 
Newbie Joined: Apr 2014 From: The Posts: 3 Thanks: 0  [Basic] Try to figure this out?
Let's say I have the number 54. My goal is to get 66 or 12. (The difference between 54 and 66 is 12.) You must use any of these numbers to get either goal number. (you may also use 54 and outside numbers from 1 to 5): 8  14  18  8  5 You can use any function. (i.e.  multiplication, division, subtract, add or even square root.) 
April 22nd, 2014, 12:24 PM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
Let me see if I understand. You can use 1 to 5 of these numbers: 5, 8, 8, 14, 18, and 0 to 6 of these numbers: 1, 2, 3, 4, 5, 54, together with any 'standard' mathematical function to come up with either 12 or 66. Correct? In general I find RIES RIES  Find Algebraic Equations, Given Their Solution at MROB useful for this sort of task, though the online version doesn't seem to be able to handle this. 
April 22nd, 2014, 12:47 PM  #3 
Newbie Joined: Apr 2014 From: The Posts: 3 Thanks: 0 
Yes correct. For example, 1814 = 4.. +8 = 12. There is my goal number. So there is no restriction on how many numbers you need to use. I'm trying to find multiple ways to get either 12 or 66 with the numbers I have provided.

April 22nd, 2014, 05:18 PM  #4  
Math Team Joined: Dec 2013 From: Colombia Posts: 7,649 Thanks: 2630 Math Focus: Mainly analysis and algebra  Quote:
I'm sure there are plenty more though. Last edited by v8archie; April 22nd, 2014 at 05:27 PM.  
April 22nd, 2014, 05:59 PM  #5 
Newbie Joined: Apr 2014 From: The Posts: 3 Thanks: 0 
Trying to see how many possible ways I can get out of this.

April 22nd, 2014, 06:41 PM  #6 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,649 Thanks: 2630 Math Focus: Mainly analysis and algebra 
Lots!


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