MathDB
palindromic numbers

Source: I May Olympiad (Olimpiada de Mayo) 1995 L2 P3

September 17, 2022
number theory

Problem Statement

It is initially considered a number of three different digits, none of which is equal to zero. Changing instead two of its digits meet a second number less than the first. If the difference between the first and second is a two-digit number and the sum of the first and the second is a palindromic number less than 500500, what are the palindromics that can be obtained?