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2016 Azerbaijan BMO TST
3
Balkan TSTp4.3
Balkan TSTp4.3
Source: Azerbaijan Balkan TST 2016 no 4
October 20, 2016
number theory
Problem Statement
a
,
b
a,b
a
,
b
are positive integers and
(
a
!
+
b
!
)
∣
a
!
b
!
(a!+b!)|a!b!
(
a
!
+
b
!)
∣
a
!
b
!
.Prove that
3
a
≥
2
b
+
2
3a\ge 2b+2
3
a
≥
2
b
+
2
.
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