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2022-23 IOQM India
18
IOQM 2022-23 P-18
IOQM 2022-23 P-18
Source:
October 30, 2022
number theory
IOQM
Problem Statement
Let
m
,
n
m,n
m
,
n
be natural numbers such that \\
m
+
3
n
−
5
=
2
L
C
M
(
m
,
n
)
−
11
G
C
D
(
m
,
n
)
.
\hspace{2cm} m+3n-5=2LCM(m,n)-11GCD(m,n).
m
+
3
n
−
5
=
2
L
CM
(
m
,
n
)
−
11
GC
D
(
m
,
n
)
.
\\ Find the maximum possible value of
m
+
n
m+n
m
+
n
.
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