# Five digits and one

From Math Puzzle Wiki

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

## Puzzle

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?

## Help

**Hint**

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>?

## References

Maths is Fun - math and logic puzzles appropriate for math education.