# Sunday Times Teaser 2979 – Mischievous Sam

*by Graham Smithers*

#### Published October 27 2019 (link)

I set Sam a question, the answer to which was a 3-digit number, with the digits increasing by 1 from first to last (eg 789)

Sam eventually produced a 3-digit answer, but only 2 of his digits were correct and in the correct position. The third digit was wrong.

Investigating further I found that Sam had the correct answer but, for devilment, decided to change it into a different (single-digit) base.

If I were to tell you which of his 3 digits was the wrong one, you should be able to tell me:

(a) the correct answer, and

(b) the base used by Sam.

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