Maths Olympiad Prep

Library / /12 of 146

, 2021

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

The positive integer kk is a solution of the equation (k÷12)÷(15÷k)=20(k \div 12) \div (15 \div k) = 20. What is the sum of the digits of kk?

(A) 1515 (B) 1212 (C) 99 (D) 66 (E) 33

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.