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x_1+x_2+x_3, multiples of 3 for 1<= x_j <= 300

Source: 1993 Greece MO p4

September 6, 2024

number theorymultiple

Problem Statement

How many sums

x_1+x_2+x_3, \ \ 1\leq x_j\leq 300, \ j=1,2,3

are multiples of

3

;