Sum of 16 < Sum of 10
Source: May Olympiad 2021 #5 L1
August 16, 2021
number theory
Problem Statement
Bob writes consecutive positive integers in a white paper(in ascending order), next he computes the sum of digits of each one of numbers(in the order) and writes the first results in a red paper and the last results in a blue paper. Determine if Bob can choose the integers, such that the sum of the numbers in the red paper is less than or equal to sum of the numbers in the blue paper.