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, 2006

Number theory Difficulty 2.0 Junior Find the answer Canada

A fraction is equivalent to $\frac{5}{8}$ . Its denominator and numerator add up to 91. What is the difference between the denominator and numerator of this fraction?

(A) $21$ (B) $3$ (C) $33$ (D) $13$ (E) $19$

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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.