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2011 Morocco National Olympiad
2
Arithmetic mean of integers of a set
Arithmetic mean of integers of a set
Source:
April 24, 2011
Problem Statement
One integer was removed from the set
S
=
{
1
,
2
,
3
,
.
.
.
,
n
}
S=\left \{ 1,2,3,...,n \right \}
S
=
{
1
,
2
,
3
,
...
,
n
}
of the integers from
1
1
1
to
n
n
n
. The arithmetic mean of the other integers of
S
S
S
is equal to
163
4
\frac{163}{4}
4
163
ā
. What integer was removed ?
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