Sunday Times Teaser 2581 – Knowing The Lingo

by RBJT Allenby

Published May 14 2017 (link)

A group of 64 students can speak, between them, French, German and Russian. There are three times as many French speakers and two times as many German speakers as there are Russian speakers. The number who speak all three languages is one fifth of the number who speak French and at least one other of these languages. The number who speak all three languages is also two ninths of the number who speak German and at least one other of these languages. Furthermore, the number who speak all three languages is also two fifths of the number who speak Russian and at least one other of these languages.

How many of the 64 students speak only French?