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

## Thursday, June 03, 2010

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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