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Choosing the right number (Posted on 2018-02-13) Difficulty: 2 of 5
From a set of 2n+1 consecutive integers a certain number, say x, is selected in a way that the remaining n pairs can be arranged as couples having the same sum.

What are all the possible values of x making such task doable?

See The Solution Submitted by Ady TZIDON    
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re: Not feeling literal | Comment 3 of 6 |
(In reply to Not feeling literal by Steve Herman)

I red the puzzle literally. As 2n+1 is always odd, removing one leave always n pairs of numbers. 


But only if the term been remove is the first, or that in the middle or the last, you have pairs that can be arranged having the same sum. 

That's why I post before:
1, n+1, 2n+1

Edited on February 14, 2018, 2:20 am
  Posted by armando on 2018-02-14 02:15:09

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