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LMT
2023 LMT Spring
1
2023 Spring LMT Team #1
2023 Spring LMT Team #1
Source:
August 10, 2023
number theory
algebra
Problem Statement
Given the following system of equations:
{
R
I
+
G
+
S
P
=
50
R
I
+
T
+
M
=
63
G
+
T
+
S
P
=
25
S
P
+
M
=
13
M
+
R
I
=
48
N
=
1
\begin{cases} R I +G +SP = 50 \\ R I +T + M = 63 \\ G +T +SP = 25 \\ SP + M = 13 \\ M +R I = 48 \\ N = 1 \end{cases}
⎩
⎨
⎧
R
I
+
G
+
SP
=
50
R
I
+
T
+
M
=
63
G
+
T
+
SP
=
25
SP
+
M
=
13
M
+
R
I
=
48
N
=
1
Find the value of L that makes
L
M
T
+
S
P
R
I
N
G
=
2023
LMT +SPR I NG = 2023
L
MT
+
SPR
I
NG
=
2023
true.
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