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
Solution:
.......1 1 7
X.....3 1 9
.....---------
......1 0 5 3
......1 1 7
...3 5 1
...------------
...3 7 3 2 3
.......* * 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
73 comments:
1 1 7
* 3 1 9
------------
---1 0 5 3
---1 1 7
-3 5 1
------------
3 7 3 2 3
------------
117,319
yup pretty simple
117
*319
-----
------
37323
117
*319
--------
1053
117
351
------
37323
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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.
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