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The 10th distance (Posted on 2021-09-06) Difficulty: 3 of 5
Five points are located on a certain straight line Nine pairwise distances are known: 2,4,5,7,12,13,15,17,19

Find the 10th.

Based on Hoshino & McCurdy puzzle published in Crux Mathematicorum

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
soln | Comment 1 of 8
The new distance is 8. There are two ways to get the given nine distances (actually, the same set of points, viewed from either end) and each generates the same 10th pairwise distance.
 
lord@rabbit resolve % s

 1  3  8 16 20

 2  4  5  7 12 13 15 17 19  8


 1  5 13 18 20

 2  4  5  7 12 13 15 17 19  8

program is here...


Edited on September 6, 2021, 9:55 am
  Posted by Steven Lord on 2021-09-06 09:02:11

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