Tuesday, August 22, 2017

The Alphamatic Problem

In the addition below, all digits have been replaced by letters. Equal letters represent equal digits and different letters represent different digits.

   ABCABA 
+
   BBDCAA 
+
   ABEABB 
   ABDBAA
-------------------
 AAFGBDH

What does the complete addition look like in digits? 

What numbers to replace digits?

Note : Alphamatic in the title is word derived from Alphabets & Mathematics. In such problems numbers are replaced by alphabets. The challenge is to find the number for each alphabet satisfying given mathematics equation.