Maths Olympiad Prep

Library / /45 of 472

, 2008

Algebra Difficulty 1.0 Junior Find the answer Canada

If 1x=2\dfrac{1}{x}=2 and 1x+3y=3\dfrac{1}{x}+\dfrac{3}{y}=3, then the value of x+yx+y is

(A) 33 (B) 56\dfrac{5}{6} (C) 73\dfrac{7}{3} (D) 72\dfrac{7}{2} (E) 43\dfrac{4}{3}

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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. Solutions are the publisher's, linked not copied.