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Escher Options
ozok
Posted: Monday, December 3, 2018 11:55:04 AM
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Joined: 7/24/2018
Posts: 166
Neurons: 888

Quote:

A farmer died leaving his 17 horses to his 3 sons.
When his sons opened up the Will it read:

My eldest son should get 1/2 (half) of total horses;
My middle son should be given 1/3rd (one-third) of the total horses;
My youngest son should be given 1/9th (one-ninth) of the total horses.

As it's impossible to divide 17 into half or 17 by 3 or 17 by 9, the three sons started to fight with each other.
So, they decided to go to a farmer friend who they considered quite smart, to see if he could work it out for them.

The farmer friend read the Will patiently, and after giving due thought he brought one of his own horses over and added it to the 17.
That increased the total to 18 horses.

Now, he divided the horses according to their father's will.

Half of 18 = 9. So he gave the eldest son 9 horses.
1/3rd of 18 = 6. So he gave the middle son 6 horses.
1/9th of 18 = 2. So he gave the youngest son 2 horses

Now add up how many horses they have:
Eldest son 9
Middle son 6
Youngest son 2

TOTAL = 17
Now this leaves one horse over, so the farmer friend takes his horse back to his farm......




just sayin'
Jyrkkä Jätkä
Posted: Monday, December 3, 2018 2:52:22 PM

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Location: Helsinki, Southern Finland Province, Finland
It's an old story, but still works. Just wondering why you titled the thread Escher.


In the beginning there was nothing, which exploded.
ozok
Posted: Monday, December 3, 2018 5:16:29 PM
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Joined: 7/24/2018
Posts: 166
Neurons: 888

M. C. Escher was a Dutch graphic artist whose work often made fun of mathematics and perception.

If you have time after raking the forest floor you can check him out at:

https://goo.gl/984sVm




just sayin'
Jyrkkä Jätkä
Posted: Monday, December 3, 2018 5:37:50 PM

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Location: Helsinki, Southern Finland Province, Finland
I'm a well known fan of M.C.

I can see you have read your Daily Trumps ;-)


In the beginning there was nothing, which exploded.
hedy mmm
Posted: Monday, December 3, 2018 7:22:28 PM

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Location: Borough of Bronx, New York, United States
Jrrkkä Jäktä wrote:
It's an old story, but still works. Just wondering why you titled the thread Escher.


Yes, it's an old story, actually a few versions, just proof that math is not perfect Brick wall ...however, I thought it was quite apropos to title the thread Escher...if only for his quote about math. Applause
"I never got a pass mark in math...just imagine - mathematicians now use my prints to illustrate their books." ~ M.C. Escher d'oh!

Hi Jrrkkä Jäktä, Dancing I also am a huge fan of M.C. Escher...I use to buy my husband's ties with Escher's artwork...nice memories.

BTW Welcome ozok to TFD. Dancing
hedy



"God graced us with today....don't waste it." hedy
coag
Posted: Tuesday, December 4, 2018 1:47:11 PM

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Joined: 3/27/2010
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This is the first time I saw this puzzle.
The deceased maybe struggled with math (½+⅓+⅑≠1), or he was a joker, or a habitual liar.

The numbers are chosen well, so that the puzzle seems as a mathematical contradiction. Maybe some mathematician was bored.
Jyrkkä Jätkä
Posted: Wednesday, December 5, 2018 6:18:05 AM

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Location: Helsinki, Southern Finland Province, Finland
Adding one horse before the calculation helps to keep the horses as one units. You know, it's difficult to share horses by fraction numbers.

How many horses are here?




In the beginning there was nothing, which exploded.
Drag0nspeaker
Posted: Wednesday, December 5, 2018 6:36:54 AM

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Location: Livingston, Scotland, United Kingdom
Well, there are sixteen whole (uncut) ones and it seems like nine in bits. So twenty-five, at a guess.

Wyrd bið ful aræd - bull!
Romany
Posted: Wednesday, December 5, 2018 7:06:57 AM
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Joined: 6/14/2009
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Location: Brighton, England, United Kingdom
coaq -

"The deceased maybe struggled with math (½+⅓+⅑≠1), or he was a joker, or a habitual liar."

It's just a riddle - riddles have been an intrinsic part of the English Language going right back to Old English. The "story" behind it could be changed by every person who told it: it has nothing to do with reality.
Jyrkkä Jätkä
Posted: Wednesday, December 5, 2018 9:05:17 AM

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Joined: 9/21/2009
Posts: 42,143
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Location: Helsinki, Southern Finland Province, Finland
Drag0n, they are 34.


In the beginning there was nothing, which exploded.
coag
Posted: Wednesday, December 5, 2018 2:44:42 PM

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Joined: 3/27/2010
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My count is 36.
I first counted the whole images of horse (16), then the cut images at the top, right, bottom and left edge.
Jyrkkä Jätkä
Posted: Thursday, December 6, 2018 2:07:04 PM

Rank: Advanced Member

Joined: 9/21/2009
Posts: 42,143
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Location: Helsinki, Southern Finland Province, Finland
I never get tired to look at some of his works.




In the beginning there was nothing, which exploded.
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