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Mathematics-Online problems:

Interactive Problem 862: Number Puzzle

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Given is the equation

$\displaystyle \underbrace{a\,b\,c}_{=X} \, \cdot \; a\,b\,c=\underbrace{c\,d\,d\,b\,a\,c}_{=Y}\,, $

where each letter stands for a digit.

Determine the different digits $ a,\ b,\ c,$ and $ d$ of the three-digit integers $ X$ and the six-digit integer $ Y$ of this equation.


Answer:

$ a\ =$
$ b\ =$
$ c\ =$
$ d\ =$


   

(From: Day of Mathematics 2005)
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  automatically generated: 8/11/2017