Nine Digits Sum
ABC+DEF=GHI. Replace each letter with a unique digit from 1 to 9, such that
Repeat for ABC+DEF=GHIJ, using the digits 0 to 9, with no leading zeros.
- as small as possible.
- as large as possible.
To avoid duplication in answers, maximize DEF in each solution.
I'm interested more in analytical proofs than in computer generated solutions.
Source: Original. Based on a puzzle from The 2001 Mensa Puzzle Calendar.
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