quotient if n+36 is divided by 4 is a 4digit number, the digits beeing 2,0,0,9
Source: 2010 Grand Duchy of Lithuania, Mathematical Contest p5 (Baltic Way TST)
October 3, 2020
number theorydivided
Problem Statement
Find positive integers n that satisfy the following two conditions:
(a) the quotient obtained when is divided by is a positive three digit number, that has equal digits.
(b) the quotient obtained when is divided by is a four digit number, the digits beeing in some order.