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Purple Comet Problems
2018 Purple Comet Problems
5
Purple Comet 2018 MS problem 5
Purple Comet 2018 MS problem 5
Source:
March 19, 2020
number theory
Problem Statement
The positive integer
m
m
m
is a multiple of
101
101
101
, and the positive integer
n
n
n
is a multiple of
63
63
63
. Their sum is
2018
2018
2018
. Find
m
ā
n
m - n
m
ā
n
.
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