3

Part of 2004 Greece JBMO TST

Problems(1)

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

Source: Greece JBMO TST 2004 p3

3

-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

4

-digit number that starts with

173

. Which is the starting number?

number theoryDigits