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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: ( Back to comment list | You must be logged in to post comments.)
re: High-Low-Jack... | Comment 2 of 21 |
(In reply to High-Low-Jack... by ed bottemiller)

Without setting out to prove it, I shall still submit that perhaps EN is Fibonacci number F21: 10946.
  Posted by Dej Mar on 2010-07-14 16:48:22

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