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2013 Cono Sur Olympiad
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2013 Cono Sur Olympiad
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Cono Sur Olympiad 2013, Problem 1
Source:
8/22/2014
Four distinct points are marked in a line. For each point, the sum of the distances from said point to the other three is calculated; getting in total 4 numbers.Decide whether these 4 numbers can be, in some order: a)
29
,
29
,
35
,
37
29,29,35,37
29
,
29
,
35
,
37
b)
28
,
29
,
35
,
37
28,29,35,37
28
,
29
,
35
,
37
c)
28
,
34
,
34
,
37
28,34,34,37
28
,
34
,
34
,
37
algebra proposed
algebra