The following multiplication example uses every digit from 0 to 9 at least once. Letters have been substituted for the digits. Can you replace the letters and make the original multiplication problem?
B O G
x B O G
------------
L Y L E
G G U L
T U O O
-------------------
U N I T O E
Here's my progression (with justifications left off, though each step is justified; but with conclusions listed as they followed)
ReplyDeleteB O G
x B O G
------------
L Y L E
G G U L
T U O O
-------------------
U N I T O E
--G must be 2 or 3
--E must be 4 or 9 (dependent on G)
--L is 1 or 2
--O is greater than or equal to 4
L MUST BE 2
O MUST BE 4
G MUST BE 3
E MUST BE 9
U MUST BE 7
B MUST BE 8
Y MUST BE 5
T MUST BE 6
I must be 0
N must be 1
8 4 3
x 8 4 3
------------
2 5 2 9
3 3 7 2
6 7 4 4
-------------------
7 1 0 6 4 9