Substituting the four numbers 1, 9, 8 and 3, for the four letters in the addition problems (different number for different letters) BAD + MAD + DAM. Find the largest sum!

Answer 1

this is not hard. Just start listing the sums:

ABDM
1983: 918+318+813=2049
...

There are only 24 ways to arrange the numbers. Crank it out. I think you can eliminate all the ones where A is not 1. That makes one of the other leading letters be 1; not a likely choice.

Answer 2

I found one that's two bigger.
819+319+913=2051

Answer 3

I found one that's 5 bigger than what which I'm good at found.
B=3
A=1
D=9
M=8
319+819=1138
1138+918=2056
Go me!