## Teaser 3000: The three thousandth

**From The Sunday Times, 22nd March 2020** [link]

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.

Congratulations to *The Sunday Times* for publishing 3000 Teaser puzzles.

[teaser3000]

## Jim Randell 4:30 pm

on20 March 2020 Permalink |We can use the [[

`SubstitutedSum()`

]] solver from theenigma.pylibrary to solve this puzzle.The following run file executes in 272ms.

Run:[ @repl.it ]Solution:TEASER = 12X523.There are two ways to assign values to the letters, as

DandOare interchangeable:LikeLike

## GeoffR 1:48 pm

on21 March 2020 Permalink |The teaser uses the 10 different letters ([T,H,R,E,O,U,S,A,N,D] in this teaser), which can convieniently represent the digits (1..10), as zero is not required,

The programme produces a single solution with the third digit as 10 (or X), alltough there are two sets of digits, with values of O and D interchangeable.

The programme uses the standard method of adding digits in columns, with carry digits to adjacent columns for column digit sums exceeding 11.

LikeLike