Given that for a positive integer N, the two relationships:
sod(N) = 100, and sod(44*N) = 800
are satisfied simultaneously.

Determine sod(3*N), providing valid reasoning for your answer.

Notes:
i) sod(m) denotes the sum of the digits of m, where m is a positive integer.
ii) Computer program and spreadsheet assisted methodologies are welcome, but an analytical solution is preferred.
iii) Adapted from a problem which appeared at a Russian Mathematical Olympiad.

(In reply to No Subject by Larry)

You wrote that x must be 1 or 2 but it can also be a string of 1's as longs as there a 0's separating individual strings.

Posted by Jer on 2023-04-26 12:34:17