Maths Olympiad Prep

Library / UKMT Senior Mathematical Challenge /37 of 212

UKMT Senior Mathematical Challenge, 2015

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

What is the sum of all the solutions of the equation 6x=150x6x = \dfrac{150}{x}?

(A) 00 (B) 55 (C) 66 (D) 2525 (E) 156156

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.
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.