MathDB

3

Part of 2002 Paraguay Mathematical Olympiad

Problems(1)

3 3-digits numbers wanted OMAPA Paraguay 2002.3

Source:

9/13/2021
With three different digits, six-digit numbers are written, multiples of 33. One of the the digits are in the unit's place, another in the hundred's place, and the third in the remaining places. If we take out two units from the hundred's digit and add these to the unit's digit, the number is left with all the same digits. Find the numbers.
number theory