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Tournament Of Towns
1991 Tournament Of Towns
(303) 4
(303) 4
Part of
1991 Tournament Of Towns
Problems
(1)
TOT 303 1991 Autumn O J4 6 numbers on a circle a=|b-c|
Source:
6/9/2024
Six numbers are placed on a circle. For every number
A
A
A
we have:
A
A
A
equals the absolute value of
(
B
ā
C
)
(B- C)
(
B
ā
C
)
, where
B
B
B
and
C
C
C
follow
A
A
A
clockwise. The total sum of the numbers equals
1
1
1
. Find all the numbers. (Folklore)
algebra
combinatorics