N is a positive integer and S(N) denotes the sum of the digits.
Find all values of a positive integer constant C such that:
S(N) = C*S(N+3)
(In reply to A more full solution.
Perhaps the summary is:
Be n a positive integer, the condition only occurs when, for some n, N is congruent with 10^n -3 or 10^n -2 or 10^n -1 (mod 10^n).
And exist a C value when S(N+3) is a divisor of 9n-3.
Edited on May 29, 2016, 5:16 am
Posted by armando
on 2016-05-29 05:10:59