MathDB
adding two 3-digits number to get a 4-digit number staring with 173

Source: Greece JBMO TST 2004 p3

June 18, 2019
number theoryDigits

Problem Statement

If in a 33-digit number we replace with each other it's last two digits, and add the resulting number to the starting one, we find sum a 44-digit number that starts with 173173. Which is the starting number?