Maths Olympiad Prep

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Algebra Difficulty 1.4 Junior Find the answer Canada

Multiplying xx by 10 gives the same result as adding 20 to xx. The value of xx is

Pick one

Solution

From the given information, 10x=x+2010x = x + 20.

Therefore, 9x=209x = 20 and so x=209x = \frac{20}{9}.

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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.