Library / /56 of 99

, 2015

Algebra Difficulty 3.0 AMC 10/12 Prove it United Kingdom

Numbers $a$ , $b$ and $c$ are such that $\dfrac{a}{b+c} = \dfrac{b}{c+a} = \dfrac{c}{a+b} = k$ . How many possible values of $k$ are there?

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.