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#11
08-02-2004, 06:35 PM
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Re: Logic Puzzle: \"Rock On\"
Edit: They're integers, and you want integer values, including 1. (For clarity's sake!)
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#12
08-02-2004, 06:38 PM
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Re: Logic Puzzle: \"Rock On\"
Think I got it:
<font color="white"> My thought process went something like this: You need 3 smalls numbers which would enable you to get any smaller numbers. Then you'll need one big number. The 3 small numbers that seemed to work for everything(just used trial and error) are 9,3, and 1. With these numbers you can get anything from 1-13. Then I looked for a number halfway between 13 and 40 and got 27. Since I can get any number from 1-13, if I add in 27, I can get anything from 14(27-13) to 40(27+13). So the numbers are 9,3,1, and 27.</font>
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#14
08-02-2004, 06:43 PM
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Re: Logic Puzzle: \"Rock On\"
The answer is <font color="white">1,3,9,27. Why these are the series of the first 4 non-fractional exponents of 3, I have no idea, but they work. Is there only one answer?
I started at the top. It seems easiest if all 4 rocks add up to exactly 40, and to get 39 one rock must be 1. 38 is just putting that 1 lb rock on the other side. 37 would have to be a 3 pounder. Then 36, 35, 34, 33, and 32 all take care of themselves with just moving those 2 rocks around. 31 isn't possible without a rock of a different value, so the 3rd rock is 9. And since they all have to add up to 40, the last is 27. I tried it and it worked. First try!!!</font> GoT
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#15
08-02-2004, 06:45 PM
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Re: Logic Puzzle: \"Rock On\"
[ QUOTE ]
The answer is 1,3,9,27. Why these are the series of the first 4 non-fractional exponents of 3, I have no idea, but they work. Is there only one answer? I started at the top. It seems easiest if all 4 rocks add up to exactly 40, and to get 39 one rock must be 1. 38 is just putting that 1 lb rock on the other side. 37 would have to be a 3 pounder. Then 36, 35, 34, 33, and 32 all take care of themselves with just moving those 2 rocks around. 31 isn't possible without a rock of a different value, so the 3rd rock is 9. And since they all have to add up to 40, the last is 27. I tried it and it worked. First try!!! GoT [/ QUOTE ] seems so easy when you say it like this.
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