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2020 LMT Spring
3
3
Part of
2020 LMT Spring
Problems
(1)
Spring 2020 Team Round Problem 3
Source:
8/22/2020
Let
L
M
T
LMT
L
MT
represent a 3-digit positive integer where
L
L
L
and
M
M
M
are nonzero digits. Suppose that the 2-digit number
M
T
MT
MT
divides
L
M
T
LMT
L
MT
. Compute the difference between the maximum and minimum possible values of
L
M
T
LMT
L
MT
.