# Ones on Each Side

Number Theory Level pending

Let $$x$$ be a five digit number. (This implies that $$x$$ is a positive integer, with $$9999 < x < 100000$$ ) If the number $$1$$ was written in front of $$x$$, then it would be one third of if the number $$1$$ was written at the end of $$x$$. (For example, writing the number $$1$$ in front of $$576$$ would be $$1576$$, and writing it at the end would be $$5761$$).

What is $$x$$?

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