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Sum, Times, I Wonder.. (Posted on 2003-10-24) Difficulty: 3 of 5
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?

See The Solution Submitted by DJ    
Rating: 4.4286 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: solution? Comment 7 of 7 |
(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

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