MathDB
2 numbes with same 2000 digits and have both sum 999 ... 999

Source: 2000 German Federal - Bundeswettbewerb Mathematik - BWM - Round 1 p1b

January 27, 2020
number theorySumDigits

Problem Statement

Two natural numbers have the same decimal digits in different order and have the sum 999⋯999999\cdots 999. Is this possible when each of the numbers consists of 20002000 digits?
Back to ProblemsView on AoPS