## Thursday, June 03, 2010

### Strange Coincidences

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

#### 1 comment:

1. Here's my progression (with justifications left off, though each step is justified; but with conclusions listed as they followed)
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

--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

Leave your answer or, if you want to post a question of your own, send me an e-mail. Look in the about section to find my e-mail address. If it's new, I'll post it soon.

Please don't leave spam or 'Awesome blog, come visit mine' messages. I'll delete them soon after.

Enter your Email and join hundreds of others who get their Question of the Day sent right to their mailbox