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Greece JBMO TST
1999 Greece JBMO TST
3
\overline{abc}+\overline{acb}=\overline{199x} , find digits
\overline{abc}+\overline{acb}=\overline{199x} , find digits
Source: Greece JBMO TST 1999
May 25, 2019
number theory
decimal representation
Digits
Problem Statement
Find digits
a
,
b
,
c
,
x
a,b,c,x
a
,
b
,
c
,
x
(
a
>
0
a>0
a
>
0
) such that
a
b
c
‾
+
a
c
b
‾
=
199
x
‾
\overline{abc}+\overline{acb}=\overline{199x}
ab
c
+
a
c
b
=
199
x
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