Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 1.9 Junior Find the answer

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

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

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

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