Maths Olympiad Prep

Library / UKMT Junior Kangaroo /74 of 243

UKMT Junior Kangaroo, 2017

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

Niko counted a total of 6060 birds perching in three trees. Five minutes later, 66 birds had flown away from the first tree, 88 birds had flown away from the second tree and 44 birds had flown away from the third tree. He noticed that there was now the same number of birds in each tree. How many birds were originally perched in the second tree?

(A) 1414 (B) 1818 (C) 2020 (D) 2121 (E) 2222

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.