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UKMT Senior Mathematical Challenge, 2025

Algebra Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Together, $n$ aardvarks and 12 anteaters eat $n^2 + 20n + 25$ ants. Each animal eats the same whole number of ants. How many ants does each animal eat?

(A) $61$ (B) $66$ (C) $71$ (D) $74$ (E) $79$

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