MathDB
Divisibility by 11 with digits 5 and 8

Source: Serbian JBTST 4, Day 1

May 30, 2009
inductionnumber theory proposednumber theory

Problem Statement

In the decimal expression of a 2009 2009-digit natural number there are only the digits 5 5 and 8 8. Prove that we can get a 2008 2008-digit number divisible by 11 11 if we remove just one digit from the number.