Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 1.9 Junior Find the answer

If $rac{1}{2n} + rac{1}{4n} = rac{3}{12}$ , what is the value of $n$ ?

Your answer

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

Solution

Since $rac{1}{2n} + rac{1}{4n} = rac{2}{4n} + rac{1}{4n} = rac{3}{4n}$ , then the given equation becomes $rac{3}{4n} = rac{3}{12}$ or $4n = 12$ . Thus, $n = 3$ .

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