Maths Olympiad Prep

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Algebra Difficulty 1.2 Junior Find the answer Canada

If $16+13=1x\$\dfrac{1}{6} + \dfrac{1}{3} = \dfrac{1}{x},thevalueof, the value of x$ is

Pick one

Solution

Simplifying, $16+13=16+26=36=12\$\dfrac{1}{6} + \dfrac{1}{3} = \dfrac{1}{6} + \dfrac{2}{6} = \dfrac{3}{6} = \dfrac{1}{2}.Thus,. Thus, 1x=12\dfrac{1}{x} = \dfrac{1}{2}andso and so x =
2$.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.