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Problems
Contests
International Contests
Tournament Of Towns
1984 Tournament Of Towns
(071) T5
(071) T5
Part of
1984 Tournament Of Towns
Problems
(1)
TOT 071 1984 Autumn Train J5 among 18 3-digit no, 1 divisible by sum of digits
Source:
8/24/2019
Prove that among
18
18
18
consecutive three digit numbers there must be at least one which is divisible by the sum of its digits.
sum of digits
divisible
consecutive
number theory