Walking up the escalator

Algebra Level 3

In a shopping centre, an escalator is moving at steady speed between level one and two. There are \(n\) steps on the escalator. Aaron and Baron are walking up the escalator. Aaron's speed is twice Baron's speed. Given that Aaron walks up \(27\) steps from level one to level two and Baron takes \(18\) steps to do so, find \(n\).

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