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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)

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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

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