Track / Stage 1 / 39 of 320 #39 of 2604

The sum of the seven digits of the number 'aaabbbb' is equal to the two-digit number 'ab'. What is the value of $a + b$?

(A) $8$ (B) $9$ (C) $10$ (D) $11$ (E) $12$

The source for this one didn't record the answer, so there is nothing to check what you type against. Work it on paper and mark yourself against the solution below.

I solved it I didn't Skip

Next problem →

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.