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1970 All Soviet Union Mathematical Olympiad
139
139
Part of
1970 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 139 All Soviet Union MO 1970 equal sums of digits
Source:
6/24/2019
Prove that for every natural number
k
k
k
there exists an infinite set of such natural numbers
t
t
t
, that the decimal notation of
t
t
t
does not contain zeroes and the sums of the digits of the numbers
t
t
t
and
k
t
kt
k
t
are equal.
number theory
Digits