# Sunday Times Teaser 2938 – Numerophobia

*by Danny Roth*

#### Published January 13 2019 (link)

In Letterland there are no numerals. They use the decimal system of counting just like we do but the digits 0-9 are represented by the first ten letters of the alphabet A-J inclusive but in no particular order. The following calculations are typical:

(1) **A + G = C **

(2) **B x J = FH **

(3) **GE x AI = HDB**

What number is represented by **ABCDEFGHIJ**?

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A straightforward permutation based solution can be written in a few minutes and runs in less than a second:

but a little bit of work gives a solution that runs in 4 milliseconds on my Skylake laptop: