Romania NMO 2023 Grade 5 P2
Source: Romania National Olympiad 2023
April 14, 2023
algebrasum of digits
Problem Statement
We say that a natural number is called special if all of its digits are non-zero and any two adjacent digits in its decimal representation are consecutive (not necessarily in ascending order).a) Determine the largest special number whose sum of digits is equal to .b) Determine the smallest special number whose sum of digits is equal to .