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Closest to two dozens (Posted on 2024-04-24) Difficulty: 3 of 5
Remember “Unique and restricted” ? ,b (pid=13696)
There I have asked for a restricted answer to an alphametic puzzle and got a set of many words.

Now I have fiddled with a similar equation and again will allow only answers not using any of the letters appearing in “TWELVE”.

TWELVE + TWELVE = (Oompha, grubby, payoff, droppy ….et al)

Your task is to find an answer to my puzzle such that adding the numerical values of all 6 letters in the word chosen by you (a long list of candidate solutions) will be closest to 24.

Start your chase.
Good luck!

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Puzzle Thoughts -- disregarding the words | Comment 6 of 20 |
(In reply to re: Puzzle Thoughts by Ady TZIDON)

The code lists arithmetic solutions that fill the pattern uniquely:

for n = 100000:999999
  n2=2*n;
  p=pttrn([num2str(n) num2str(n2)]);
  if ismember(p,goodPats)
    disp([n n2 sod(n2)])
  end
end

The list of additions that have unique patterns:

      TWELVE      other     sod(other word)
                  word          

      167927      335854          28
      172692      345384          27
      192672      385344          27
      267917      535834          28
      307827      615654          27
      327807      655614          27
      354614      709228          28
      385645      771290          26
      451861      903722          23
      453813      907626          30
      569209     1138418          26
      679429     1358858          38
      723093     1446186          30
      732092     1464184          28
      769429     1538858          38
      923073     1846146          30
      
I don't know where your sod of 25 came from. Perhaps it's from the solution where TWELVE = 451861 and the new word evaluates to 903722. In that, it's TWELVE that has the sod of 25.

Here's a table that includes the sod(TWELVE)

      TWELVE      other       sod(TWELVE)  sod(other word)
                  word          

      167927      335854          32          28
      172692      345384          27          27
      192672      385344          27          27
      267917      535834          32          28
      307827      615654          27          27
      327807      655614          27          27
      354614      709228          23          28
      385645      771290          31          26
      451861      903722          25          23
      453813      907626          24          30
      569209     1138418          31          26
      679429     1358858          37          38
      723093     1446186          24          30
      732092     1464184          23          28
      769429     1538858          37          38
      923073     1846146          24          30

Edited on April 25, 2024, 7:43 am
  Posted by Charlie on 2024-04-25 07:42:28

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