MathDB
Problems
Contests
National and Regional Contests
Greece Contests
Greece JBMO TST
1999 Greece JBMO TST
3
3
Part of
1999 Greece JBMO TST
Problems
(1)
\overline{abc}+\overline{acb}=\overline{199x} , find digits
Source: Greece JBMO TST 1999
5/25/2019
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
number theory
decimal representation
Digits