Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 4.9 AIME Find the answer

Let $Z$ be as in problem 15. Let $X$ be the greatest integer such that $|X Z| \leq 5$ . Find $X$ .

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

Problems 13-15 go together. See below.

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