Message Forum: Re: King's Dilemma dilemma

Re: King's Dilemma dilemma

Posted By: WindDragon, on host 209.129.155.253
Date: Wednesday, April 17, 2002, at 09:43:17
In Reply To: Re: King's Dilemma dilemma posted by mpythongirl on Tuesday, April 16, 2002, at 22:23:38:

> > > Could you remind me of what the problem is, and I'll give you a hint about it?
> >
> > Here is the poem that's on the bulletin board. How do I solve it? I don't know where to being. It's not fun having a disability.
> >
> > " -- The King's Dilemma --
> >
> > King Llewellyn, from his palace
> > Sensed designs of jealous malice
> > From the neighboring lands of gloom.
> > Called to arms a host of gallant
> > Warriors, schemers, men of talent
> > Banded 'gainst the pending doom.
> >
> > All those gathered, silent, solemn,
> > Then were ranked by row and column,
> > Equal numbers to each file.
> > Though the king tried rows of seven,
> > Then thirteen, and yes, eleven,
> > Five were extra, every trial.
> >
> > Sighing deeply in frustration,
> > Tried one final combination,
> > Found success in rows of five.
> > Tell me, if it not encumber
> > Thee too much, to count the number
> > Of the men who did arrive.
> >
> > Anonymous "
> >
> > All help appreciated!
>
> This problem involves LCMs. The king tried rows of 13, 7, & 11, but had 5 left over each time. When he tried it in rows of 5, it worked. You need a number that's common to the 1st 3 numbers; then, with a little logic and some trial-and-error, you can find the number of people the king had. I rmemeber it's a 4-digit #.
> --mpython"got this in about 5 minutes with my trusty TI-86 calculator; it has an LCM function!"girl

TI-86. Lucky. Anyway.

I got it in one minute, and that's because it's early. Note that we're looking for x and that x-5 *must* have factors of 5, 7, 11, and 13. Note also that all of those are prime. That should be all you need.

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Re: King's Dilemma dilemma - Aliana - Thu, 6/6/2002, 07:11:45

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Message:	> > > > Could you remind me of what the problem is, and I'll give you a hint about it? > > > > > > Here is the poem that's on the bulletin board. How do I solve it? I don't know where to being. It's not fun having a disability. > > > > > > " -- The King's Dilemma -- > > > > > > King Llewellyn, from his palace > > > Sensed designs of jealous malice > > > From the neighboring lands of gloom. > > > Called to arms a host of gallant > > > Warriors, schemers, men of talent > > > Banded 'gainst the pending doom. > > > > > > All those gathered, silent, solemn, > > > Then were ranked by row and column, > > > Equal numbers to each file. > > > Though the king tried rows of seven, > > > Then thirteen, and yes, eleven, > > > Five were extra, every trial. > > > > > > Sighing deeply in frustration, > > > Tried one final combination, > > > Found success in rows of five. > > > Tell me, if it not encumber > > > Thee too much, to count the number > > > Of the men who did arrive. > > > > > > Anonymous " > > > > > > All help appreciated! > > > > This problem involves LCMs. The king tried rows of 13, 7, & 11, but had 5 left over each time. When he tried it in rows of 5, it worked. You need a number that's common to the 1st 3 numbers; then, with a little logic and some trial-and-error, you can find the number of people the king had. I rmemeber it's a 4-digit #. > > --mpython"got this in about 5 minutes with my trusty TI-86 calculator; it has an LCM function!"girl > > TI-86. Lucky. Anyway. > > I got it in one minute, and that's because it's early. Note that we're looking for x and that x-5 must have factors of 5, 7, 11, and 13. Note also that all of those are prime. That should be all you need.
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