MathDB
A three-digit number.

Source: Greece National Olympiad 2000 , Juniors , Problem 2.

November 18, 2005

Problem Statement

A three-digit bumber abc\overline{abc} (in decimal representation) is such that (i) its hundreds digit is equal to the sum of the other two digits, and (ii)b(c+1)=524ab(c+1)=52-4a. Find all such numbers.