A+C+E Sum
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This is a pretty small point in terms of the entire explanation, but technically, shouldn't the greatest possible sum of A, C, and E be 9, if all three of them were 3? In the end, it doesn't really affect the solution that much, but I did want to ask if there was something I was missing. If I'm misunderstanding this problem can someone please provide an explanation?
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@strategicporpoise same question lol
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The reason that the greatest possible sum of A, C and E is 6 instead of 9 is because of the limitation that A+C+E=B+D. Since the greatest value B and D can be is 3, the maximum value that the sum of B+D can be is 6.
If you set A,C, and E = 3; you'd basically say 3+3+3 = 9 = B+D, which isn't possible since the max of B+D is 6 and 9 > 6.