There are infinitely many pairs of numbers whose sum equals their product.

However, there is only one solution to the equation below, in which each letter stands for a single, distinct digit.

AB × C.DE = AB + C.DE

What digit does each letter in this equation represent?

(In reply to solution? by Elias)

Since, by the problem, each of the letters A, B, C, D and E MUST be different, it follows that A=B=C=D=E=0 is a contradiction and cannot be a solution to the given problem.

Consequently, there is only one solution to the given problem, that is:

26*1.04 = 26 + 1.04

Edited on March 28, 2007, 9:56 am

Posted by K Sengupta on 2007-03-28 09:55:22