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Restoring the erased (Posted on 2010-07-14) Difficulty: 3 of 5
The following text represents a valid contest question
in which I have erased one number :

Let S be a set of 20 distinct positive integers,
each less than EN(=THE ERASED NUMBER).
Show that there exist four distinct elements a, b, c, d , all in S,
such that a + b = c + d.


What maximal value of EN guarantees the existence of these elements ?

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (5 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: kudosbroll2010-07-21 06:58:37
kudosAdy TZIDON2010-07-20 20:05:22
re: Assurance it is ...broll2010-07-20 15:17:48
Assurance it is ...Justin2010-07-20 14:18:14
re: solution for n=12ed bottemiller2010-07-20 11:25:49
Some Thoughtsre: solution for n=12 ASSURANCEAdy TZIDON2010-07-20 11:22:19
solution for n=12Justin2010-07-19 22:36:13
Some Thoughtsre(4): No Subject FOR ALL SOLVERSAdy TZIDON2010-07-18 12:41:15
re(3): Low 300sbroll2010-07-17 15:57:22
re(2): Low 300s ??Justin2010-07-17 14:24:12
re: Low 300s ??broll2010-07-17 09:05:23
Low 300s ??ed bottemiller2010-07-16 20:06:42
re: running some numbers ...ed bottemiller2010-07-16 15:00:13
running some numbers ...Justin2010-07-16 00:53:57
re(3): No Subjected bottemiller2010-07-15 21:25:30
re(2): No Subjectbroll2010-07-15 17:16:16
re: No Subjected bottemiller2010-07-15 12:30:53
Some ThoughtsNo Subjectbroll2010-07-15 04:58:26
re(2): High-Low-Jack...ed bottemiller2010-07-14 20:20:58
re: High-Low-Jack...Dej Mar2010-07-14 16:48:22
High-Low-Jack...ed bottemiller2010-07-14 13:07:36
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