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1999 Harvard-MIT Mathematics Tournament
4
1999 HMMT Team #4
1999 HMMT Team #4
Source:
March 8, 2024
number theory
Problem Statement
Consider the equation
F
O
R
T
Y
+
T
E
N
+
T
E
N
=
S
I
X
T
Y
FORTY + TEN + TEN = SIXTY
FORT
Y
+
TEN
+
TEN
=
S
I
XT
Y
, where each of the ten letters represents a distinct digit from
0
0
0
to
9
9
9
. Find all possible values of
S
I
X
T
Y
SIXTY
S
I
XT
Y
.
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