# Sunday Times Teaser 3000 – The Three Thousandth

*by Richard England*

#### Published Sunday March 22 2020 (link)

**__T H R E E**

**+ T H O U S
+ A N D T H
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T E A S E R
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In this addition digits have been consistently replaced by letters, different letters representing different digits. But instead of an addition in base 10 in which the letters represent the digits 0 to 9 this is an addition in base 11, using X for the extra digit, in which the letters represent the digits 1 to X, with 0 unused.

Please submit the number (still in base 11) represented by **TEASER**.

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This solution uses my AlphaSum solver.

This teaser has ten letters to represent the stated digits in base 11 i.e.(1 to 10) and lends itself to a stage permutation solution

# A more lazy solution. Replace ‘a’ with ‘X’ in the solution if required.