Maths Olympiad Prep

Library / /113 of 146

, 2024

Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Let xx and yy be positive integers such that 1x+1y=120\frac{1}{x}+\frac{1}{y}=\frac{1}{20}. What is the maximum possible value of yy?

(A) 4040 (B) 6060 (C) 240240 (D) 420420 (E) 480480

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

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