Maths Olympiad Prep

Library / UKMT Junior Mathematical Challenge /237 of 274

UKMT Junior Mathematical Challenge, 2018

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

The diagram shows a partially completed magic square, in which all rows, all columns and both main diagonals have the same total. What is the value of x+yx + y?

(A) 1010 (B) 1111 (C) 1212 (D) 1313 (E) 1414

Figure for this problem

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.