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Uber Geek
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Topic # 185749 3-Dec-2015 18:36
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Where IJK and LMN are 3-digit whole numbers? Got me stumped.

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Ultimate Geek
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  Reply # 1440083 3-Dec-2015 18:49
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355 / 113

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Uber Geek
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  Reply # 1440084 3-Dec-2015 18:50
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Brilliant !


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Ultimate Geek
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  Reply # 1440085 3-Dec-2015 18:53
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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.

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  Reply # 1440090 3-Dec-2015 19:06
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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?


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  Reply # 1440104 3-Dec-2015 19:16
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Pi is an irrational number. Ie; cannot be expressed as a ratio. Therefore if the answer is Pi the equation is false.

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  Reply # 1440108 3-Dec-2015 19:19
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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.

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  Reply # 1440110 3-Dec-2015 19:22
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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.

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  Reply # 1440174 3-Dec-2015 21:34
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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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