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2012 Moldova Team Selection Test
2
Minimum value
Minimum value
Source: Moldova TST Day 1 Problem 2
March 16, 2012
number theory proposed
number theory
Problem Statement
Positive integers
a
,
b
a,b
a
,
b
are such that
137
137
137
divides
a
+
139
b
a+139b
a
+
139
b
and
139
139
139
divides
a
+
137
b
a+137b
a
+
137
b
. Find the minimal posible value of
a
+
b
a+b
a
+
b
.
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