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1
Positive integers
Positive integers
Source: RMO 2003, Grade 9, Problem 1
October 23, 2008
Problem Statement
Find positive integers
a
,
b
a,b
a
,
b
if for every
x
,
y
ā
[
a
,
b
]
x,y\in[a,b]
x
,
y
ā
[
a
,
b
]
, \frac1x\plus{}\frac1y\in[a,b].
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