Maths Olympiad Prep

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Problem 53

Algebra Difficulty 1.0 Find the answer UKMT Grey Kangaroo · United Kingdom · 2018

The two numbers aa and bb both lie between 5-5 and 1010 inclusive. What is the largest possible value of aba-b?

(A) 5-5 (B) 00 (C) 1010 (D) 1515 (E) 2020

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.