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Algebra Difficulty 3.0 AMC 10/12 Find the answer Canada

Two positive integers $a$ and $b$ have the property that if $a$ is increased by 25%, the result will be greater than five times the value of $b$ . What is the minimum possible value for $a+b$ ?

(A) $3$ (B) $6$ (C) $10$ (D) $9$ (E) $21$

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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.