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All-Russian Olympiad
1962 All Russian Mathematical Olympiad
021
021
Part of
1962 All Russian Mathematical Olympiad
Problems
(1)
ASU 021 All Russian MO 1962 9.4 sum of digits
Source:
6/17/2019
Given
1962
1962
1962
-digit number. It is divisible by
9
9
9
. Let
x
x
x
be the sum of its digits. Let the sum of the digits of
x
x
x
be
y
y
y
. Let the sum of the digits of
y
y
y
be
z
z
z
. Find
z
z
z
.
number theory