The following problem (link in german) January 2010 is part of this years mathematics competition of Baden-Württemberg for pupils at the age of 10-12.

Prove that you cannot get 50 as the sum of exactly 5 numbers from the set {5,9,13,17,19}.

Prove that there are exactly 2 ways to get 50 as the sum of exactly 5 numbers from the set {6,11,13,15,17}.

Nice problem with a nice solution. Albeit maybe a little hard at that age.

Advertisements

Like this:

LikeLoading...

Related

This entry was posted on Saturday, January 16th, 2010 at 11:25 am and is filed under Recreational Mathematics. You can follow any responses to this entry through the RSS 2.0 feed.
You can leave a response, or trackback from your own site.