Library / /111 of 121

, 2017

Algebra Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Four brothers have different heights. Tobias is shorter than Victor by the same amount by which he is taller than Peter. Oscar is shorter than Peter by the same amount as well. Tobias is 184 cm tall and the average height of all the four brothers is 178 cm. How tall is Oscar?

(A) $160\text{ cm}$ (B) $166\text{ cm}$ (C) $172\text{ cm}$ (D) $184\text{ cm}$ (E) $190\text{ cm}$

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.