MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - Other Middle and High School Contests
Purple Comet Problems
2017 Purple Comet Problems
8
Purple Comet 2017 MS Problem 8
Purple Comet 2017 MS Problem 8
Source:
April 14, 2018
Purple Comet
Problem Statement
The positive integer
m
m
m
is a multiple of 111, and the positive integer
n
n
n
is a multiple of 31. Their sum is 2017. Find
n
ā
m
n - m
n
ā
m
.
Back to Problems
View on AoPS