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National and Regional Contests
Greece Contests
Greece National Olympiad
1994 Greece National Olympiad
4
4
Part of
1994 Greece National Olympiad
Problems
(1)
x_1+x_2+x_3, multiples of 3 for 1<= x_j <= 300
Source: 1993 Greece MO p4
9/6/2024
How many sums
x
1
+
x
2
+
x
3
,
1
≤
x
j
≤
300
,
j
=
1
,
2
,
3
x_1+x_2+x_3, \ \ 1\leq x_j\leq 300, \ j=1,2,3
x
1
+
x
2
+
x
3
,
1
≤
x
j
≤
300
,
j
=
1
,
2
,
3
are multiples of
3
3
3
;
number theory
multiple