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Problem 49

Algebra Difficulty 1.0 Find the answer UKMT Intermediate Mathematical Challenge · United Kingdom · 2018

Which of these is equal to 109+910\frac{10}{9} + \frac{9}{10}?

(A) 11 (B) 22 (C) 2.01˙2.0\dot{1} (D) 2.1˙2.\dot{1} (E) 2.2˙2.\dot{2}

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.