Five digits and one

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Here is a nice place value puzzle I saw on the Maths is Fun website.


I am thinking of a five digit number. If you were to put a "1" at the end of the number you would get a six digit number which is three times the six digit number you get by placing a "1" at the front of my number. What number am I thinking of?


An algebraic solution exists: let <m>x</m> be the mystery number. How do you express the two six digit numbers in terms of <m>x</m>?


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