MathDB
TOT 387 1993 Autumn A J5 n +S(n) = p + S(p) = q + S(q), sum of digits

Source:

June 12, 2024
number theorysum of digits

Problem Statement

Let S(n)S(n) denote the sum of digits of nn (in decimal representation). Do there exist three different natural numbers nn, pp and qq such that n+S(n)=p+S(p)=q+S(q)?n +S(n) = p + S(p) = q + S(q)? (M Gerver)
Back to ProblemsView on AoPS