Library / UKMT Junior Kangaroo /166 of 243

UKMT Junior Kangaroo, 2021

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

In the addition sum shown, $J$ , $K$ and $L$ stand for different digits. What is the value of $J + K + L$ ? The sum shown is: $JKL + JLL + JKL = 479$ (a vertical addition of the three-digit numbers $JKL$ , $JLL$ , and $JKL$ giving the sum $479$ ).

(A) $6$ (B) $8$ (C) $9$ (D) $10$ (E) $11$

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.