1b

Part of 2000 Bundeswettbewerb Mathematik

Problems(1)

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

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

Two natural numbers have the same decimal digits in different order and have the sum

999\cdots 999

. Is this possible when each of the numbers consists of

2000

number theorySumDigits