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Problem of the Week
Problem C
Arranging Tiles 1

Ana has nine tiles, each with a different integer from \(1\) to \(9\) on it. Ana creates larger numbers by placing tiles side by side. For example, using the tiles \(3\) and \(7\), Ana can create the \(2\)-digit number \(37\) or \(73\).

Using six of her tiles, Ana forms two \(3\)-digit numbers that add to \(1000\). What is the largest possible \(3\)-digit number that she could have used?

Theme: Number Sense