I’ve written about the World Puzzle Championship before.

This is from the US Puzzle Championship in 2001. This particular puzzle was written by Harry Nelson.

*High Five*

*
*You have a set of five numbers. When adding together each of the ten possible pairs, you get the following sums:

0, 6, 11, 12, 17, 20, 23, 26, 32, 37

*What are the five original numbers?*

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Filed under: Mathematics, Puzzles

Elissa, on January 14, 2009 at 8:38 pm said:This isn’t too hard… but I wonder, how would one go about solving a more general problem where the first number is not zero?

Jason Dyer, on January 14, 2009 at 9:15 pm said:It’s the interesting generalization (and the simplicity of this) that really caught my eye.

If you want a harder math problem, try Bad Math from the same test (linked above on the number “2001”).

jd2718, on January 14, 2009 at 9:32 pm said:I started by adding them, then the zero… it really was easier than I anticipated.

Jonathan

Puzzlinks Roundup (weekly) » puzzlinks.com, on January 18, 2009 at 6:35 am said:[…] My Favorite Math Puzzle from the US Puzzle Championship « The Number Warrior […]

Kenneth Rochester, on February 11, 2009 at 9:41 am said:4a + 4b + 4c = 4d + 4e = 184

4( a + b + c + d + e ) = 46

a, b, c, d, e (largest to smallest number )

a +b = largest sum

a+ c = second largest number

d + e = smallest number

c + e = second smallest number

That’s all you need. Courtesy of one of my Algebra 2 students.