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Spain Contests
Spain Mathematical Olympiad
1966 Spain Mathematical Olympiad
2
2
Part of
1966 Spain Mathematical Olympiad
Problems
(1)
xyz in the base 7, zyx$ in the base 9 system
Source: Spanish Mathematical Olympiad 1966 P2
12/4/2022
A three-digit number is written
x
y
z
xyz
x
yz
in the base
7
7
7
system and
z
y
x
zyx
zy
x
in the base
9
9
9
system . What is the number?
number theory