Palindrome Problem – PMONK 2018 – IMC 2013

Question

How many pairs of 4 digit palindromes add up to a five digit palindrome?

Solution

Discussed in attached images.

This problem is from the PMONK Pertandingan Matematik Olympiad Peringkat Negeri Kedah 2018 – Grade 5 and 6 – No. 24 (last question and probably the toughest problem on this paper).

It is also closely related to Problem 13 on the IMC 2013 (Grade 6).