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The Multiplication

Puzzle:

In the following multiplication, certain digits have been replaced with asterisks (*). Replace all the asterisks such that the problem holds the result.

.......* * 7
X.....3 * *
.....---------
......* 0 * 3
......* 1 *
...* 5 *
...------------
...* 7 * * 3


For Solution visit the blog tomorrow.


































Solution:

.......1 1 7
X.....3 1 9
.....---------
......1 0 5 3
......1 1 7
...3 5 1
...------------
...3 7 3 2 3


71 comments:

Raghuram said...
This comment has been removed by the author.
Raghuram said...
This comment has been removed by the author.
Raghuram said...

1 1 7
* 3 1 9
------------
---1 0 5 3
---1 1 7
-3 5 1
------------
3 7 3 2 3
------------

Anonymous said...

117,319

kumar said...

yup pretty simple
117
*319
-----

------
37323

Ankur Gupta said...

117
*319
--------
1053
117
351
------
37323

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David Jackman said...

This puzzle wasn't too bad, only took me about 20 minutes.

I got 117*319 = 37323.

Without going into too much detail, I just figured out which were the possible values for the asterisks and which ones were easiest to find.

For example, in the second term being multiplied, 3 * *, I knew the second * had to be 9 because when it was multiplied by the 7 in the first term (* * 7) it had to result in a number ending in 3. Only a value of 9 could satisfy that term (9*7 = 63).

I just did stuff like that and it worked out without too much hassle.

Still a lot of fun though.

I did a puzzle similar to this in college and it took me hours. Maybe I've gotten smarter? ;)