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peejayw

1201 posts

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Topic # 185749 3-Dec-2015 18:36

Where IJK and LMN are 3-digit whole numbers? Got me stumped.

556 posts

Ultimate Geek

Trusted

355 / 113

1201 posts

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Brilliant !

Boeingflyer

556 posts

Ultimate Geek

Trusted

no worries, i sort of guess, i started with 111 and times it by 3.141592 and then worked towards a number that match, so i got it in three goes. Someone out there will have the right method to doing it.

RunningMan

4429 posts

Uber Geek

One person supports this post

In that notation, wouldn't IJK = I*J*K?

And is that pi or pi*3.141592? (approx pi squared)

EDIT: Or are they substituting 3.141592 for pi?

gzt

9150 posts

Uber Geek

2 people support this post

Pi is an irrational number. Ie; cannot be expressed as a ratio. Therefore if the answer is Pi the equation is false.

peejayw

1201 posts

Uber Geek

One person supports this post

I think they are just 3-digit numbers and the expression for pi is an approximation, the answer given seems to fit in with the rest of the puzzle.

eracode

2320 posts

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Subscriber

I might have assumed that "IJK" (and LMN) implies that these integers are all different from each other - but obviously not. Otherwise 355 could be IJJ and 113 could be KKL?

But I have just read RunningMan's post and like that approach more.

Technofreak

2577 posts

Uber Geek

Reading Wiki it would seem 355/113 (3.141592920) was a figure derived by a Chinese mathematician (Zu Chongzhi) in 480 AD and was for the next 800 years the most accurate calculation of pi.  I suspect those that are mathematicians probably know this number.

I don't know there is any ready and rough method to work the answer in the example out other than by trial and error.

Fabian, what made you choose 111 as a starting point.

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