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 Three W answers (Posted on 2011-02-27)
Find the minimal and maximal amounts of money in the following base 10 alphametics:

NOW+SHOW+ME+YOUR=MONEY

For both cases find the values corresponding to "WHY","WHEN", & "WHO ME".

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 Solution Comment 6 of 6 |
The minimal alphametic value* for MONEY is 12405.
now  show  me  your  money  why  when  who me
428  6728  10  5239  12405  875  8704  872 10
The maximal alphametic value* for MONEY is 16547.
now  show  me  your  money  why  when  who me
562  8362  14  7609  16547  237  2345  236 14

*By tradition and general rule, a leading zero is not a valid solution for an alphametic, but with an exception to this rule there are solutions that do exist. A few of these are as follows:

now  show  me  your  money
257  3457  09  1568  05291
652  3452  09  1578  05691
752  3452  08  1569  05781
762  4362  09  1658  06791

A more minimal value for MONEY, due to the leading zeroes in ME and MONEY, would be 05291.
now  show  me  your  money  why  when  who me
257  3457  09  1568  05291  741  7492  745 09

 Posted by Dej Mar on 2011-03-01 01:08:56

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