Maths Olympiad Prep

Library / UKMT Grey Kangaroo /178 of 242

UKMT Grey Kangaroo, 2024

Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Four different positive integers are placed on a grid and then covered up. The product of the integers in each row and column is shown in the diagram. What is the sum of the four integers?

(A) 1010 (B) 1212 (C) 1313 (D) 1414 (E) 1515

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.