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What is the math behind this? math needs to work up/down - left to right  - right to left

all numbers  shown on top are given.  but with bigger numbers.  bottom is what is needed

 

 ? - 3 + ?
 6 - 2 + 4
 ? - 1 + ?

 

 

11 - 3 + 8
  6 - 2 + 4
  5 - 1 + 4

 Dec 19, 2018
 #1
avatar+27531 
+3

Should this be:

 

   ? - 3 = ?

-(6 -  2 = 4)

---------------

  ? -  1 = ?

 

If so, rewrite as:

 

  a - 3 = b

-(6 - 2 = 4)

--------------

  c - 1 = d

 

In this case there are an infinite number of solutions!

 

We have four equations:

a - 3 = b        

a - 6 = c      

c - 1 = d       

b - 4 = d     

 

These are satisfied by

a = 7 + p,   b = 4 + p,   c = 1 + p,   d = p  where p is any number

 

So for example, if p = 0, then a = 7, b = 4, c = 1 and d = 0

If p = 4, then a = 11, b = 8, c = 5 and d = 4

etc.

 Dec 19, 2018
edited by Alan  Dec 19, 2018

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