SOLUTION: In the diagram below, you are given 9 spots to fill with numbers(2 are already given). The letters A,B,C, and D are each connected to four spots by lines. Your goal here is to fill

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Question 1168669: In the diagram below, you are given 9 spots to fill with numbers(2 are already given). The letters A,B,C, and D are each connected to four spots by lines. Your goal here is to fill in the remaining spots with the numbers given below the diagram. Each letter equals the sum of the four spots around it. When A,B,C, and D have the same sum, then the diagram is considered balanced. What configuration will balance this diagram?
__________________

? ? 9
\ / \ /
A B
/ \ / \
? ? ?
\ / \ /
C D
/ \ / \
3 ? ?
___________________
1,2,4,5,6,7,8
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39627)   (Show Source): You can put this solution on YOUR website!
Placing inside of "pre" tags, maybe looks more like you wanted: 

__________________ 
   
    ?   ?   9    
     \ / \ /
      A   B
     / \ / \
    ?   ?   ?
     \ / \ /
      C   D
     / \ / \
    3   ?   ?
___________________
 1,2,4,5,6,7,8

Answer by ikleyn(52863)   (Show Source): You can put this solution on YOUR website!
.

In the diagram below, you are given 9 spots to fill with numbers(2 are already given). 
The letters A,B,C, and D are each connected to four spots by lines. 
Your goal here is to fill in the remaining spots with the numbers given below the diagram. 
Each letter equals the sum of the four spots around it. 
When A,B,C, and D have the same sum, then the diagram is considered balanced. 
What configuration will balance this diagram?

   
    ?   ?   9    
     \ / \ /
      A   B
     / \ / \
    ?   ?   ?
     \ / \ /
      C   D
     / \ / \
    3   ?   ?
___________________
 1,2,4,5,6,7,8

~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~


A N S W E R 

    4   5   9    
     \ / \ /
      17  17
     / \ / \
    7   1   2
     \ / \ /
      17  17
     / \ / \
    3   6   8



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