perplexus.info :: Numbers : Ten to five

Home > Numbers

Ten to five (Posted on 2018-07-30)

You are given a set of 10 numbers that represent all possible pairwise sums of certain five numbers.

Devise a strategy to find the original five numbers.

Provide a numerical example.

No Solution Yet Submitted by Ady TZIDON

Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re(2): Corrected solution (spoiler)

| Comment 4 of 7 |

Well, just to be clear, order the partial sums, with w1 the smallest and w10 the largest.

Let S = their sum divided by 4.

Then

a3 = S - w1 - w10

a5 = w9 - a3

a4 = w10 - a5

a1 = w2 - a3

a2 = w1 - a1

Edited on August 1, 2018, 10:49 am

Posted by Steve Herman on 2018-07-30 15:39:41

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