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UKMT Grey Kangaroo, 2017

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

Adam the Ant started at the left-hand end of a pole and crawled 23\frac{2}{3} of its length. Benny the Beetle started at the right-hand end of the same pole and crawled 34\frac{3}{4} of its length. What fraction of the length of the pole are Adam and Benny now apart?

(A) 38\frac{3}{8} (B) 112\frac{1}{12} (C) 57\frac{5}{7} (D) 12\frac{1}{2} (E) 512\frac{5}{12}

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