perplexus.info :: Just Math : The 10th distance

The 10th distance (Posted on 2021-09-06)

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.)

Answer

| Comment 4 of 8 |

The missing distance is 8. The distances between the points in order are 2, 5, 8, 4. Here are the sums of consecutive distances.

2+5=7

5+8=13

8+4=12

2+5+8=15

5+8+4=17

2+5+8+4=19

Posted by Math Man on 2021-09-07 13:20:23

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info