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2011 LMT
14
2011 Spring LMT Individual Round Problem 14
2011 Spring LMT Individual Round Problem 14
Source:
January 6, 2021
Problem Statement
Let
L
,
E
,
T
,
M
,
L,E,T,M,
L
,
E
,
T
,
M
,
and
O
O
O
be digits that satisfy
L
E
E
T
+
L
M
T
=
T
O
O
L
.
LEET+LMT=TOOL.
L
EET
+
L
MT
=
TOO
L
.
Given that
O
O
O
has the value of
0
,
0,
0
,
digits may be repeated, and
L
≠
0
,
L\neq0,
L
=
0
,
what is the value of the
4
4
4
-digit integer
E
L
M
O
?
ELMO?
E
L
MO
?
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