MathDB
a+b+c+d=21... isi(bs) 2010 #2

Source:

May 16, 2012
modular arithmetic

Problem Statement

Let a,b,c,da,b,c,d be distinct digits such that the product of the 22-digit numbers ab\overline{ab} and cb\overline{cb} is of the form ddd\overline{ddd}. Find all possible values of a+b+c+da+b+c+d.