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An integer $$n$$ is such that $$\frac{n-9}{4}$$ is a three digit number with equal digits, and $$\frac{n-172}{9}$$ is a $$4$$ digit number with the digits $$2, 0, 2, 4$$ in some order. What is the remainder when $$n$$ is divided by $$100$$?
Correct Answer: 91
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