| Title: | Brain Bogglers |
| Notice: | BRAIN_BOGGLERS is, like, back in business, totally |
| Moderator: | BUSY::SLAB |
| Created: | Mon Jul 13 1987 |
| Last Modified: | Mon Jun 02 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 1441 |
| Total number of notes: | 13981 |
Taken from Crossword Extravaganza by Dell:
Place numbers on the dashes such that the multiplications are correct.
Columns marked with // must contain one occurrence of the digits 1-5.
// // //
1. 1 x __ = __ x __ = __ x __ = 60
2. 2 x __ = __ x __ = __ x __ = 12
3. 3 x __ = __ x __ = __ x __ = 45
4. 4 x __ = __ x __ = __ x __ = 32
5. 5 x __ = __ x __ = __ x __ = 200
| T.R | Title | User | Personal Name | Date | Lines |
|---|---|---|---|---|---|
| 1440.1 | CSC32::MACGREGOR | Colorado: the TRUE mid-west | Tue May 27 1997 15:11 | 10 | |
Shawn,
Either you missed something or your rules are a bit vague. First of
all, there are 6 slots and only 5 digits. Second of all, if you
multiply two two digit numbers, you MUST get a three digit number.
Therefore all five of equations are impossible.
Marc
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| 1440.2 | BUSY::SLAB | Audiophiles do it 'til it hertz! | Tue May 27 1997 16:02 | 12 | |
Only columns marked with a // are limited to one occurrence of
the digits 1-5.
Every other blank space will contain the result of the previous
multiplication:
// // //
7 x 1 = 7 x 4 = 28 x 3 = 84
-- -- -- -- --
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| 1440.3 | CSC32::MACGREGOR | Colorado: the TRUE mid-west | Tue May 27 1997 22:08 | 6 | |
Thanks for the clarification, I thought __ meant I needed two digits.
Now to work on the problem.
Marc
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| 1440.4 | CSC32::MACGREGOR | Colorado: the TRUE mid-west | Tue May 27 1997 22:17 | 28 | |
Solution behind form feed:
The part that makes it easy is to take the final result, divide by the
first term, and then figure out what three numbers when multiplied
together get that result. So, for example, take number 2. The final
result is 12, divide that by the 2 at the beginning and you get 6.
What three numbers when multiplied together total 6? 1,2,3
1. 3,4,5
2. 1,2,3
3. 1,3,5
4. 1,2,4
5. 2,4,5
Now the trick is to align the columns such that each of the three
columns has the numbers 1 - 5. So the solution becomes:
1. 5,4,3
2. 1,3,2
3. 3,1,5
4. 4,2,1
5. 2,5,4
Marc
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| 1440.5 | BUSY::SLAB | Audiophiles do it 'til it hertz! | Wed May 28 1997 04:53 | 6 | |
Looks good to me.
I got the numbers in a different order, but it appears that there
is more than one solution.
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