IMO Shortlist 1962 problem 1
Dodao/la:
arhiva2. travnja 2012. Find the smallest natural number
![n](/media/m/a/e/5/ae594d7d1e46f4b979494cf8a815232b.png)
which has the following properties:
a) Its decimal representation has a 6 as the last digit.
b) If the last digit 6 is erased and placed in front of the remaining digits, the resulting number is four times as large as the original number
![n](/media/m/a/e/5/ae594d7d1e46f4b979494cf8a815232b.png)
.
%V0
Find the smallest natural number $n$ which has the following properties:
a) Its decimal representation has a 6 as the last digit.
b) If the last digit 6 is erased and placed in front of the remaining digits, the resulting number is four times as large as the original number $n$.
Izvor: Međunarodna matematička olimpijada, shortlist 1962