A tricky puzzle

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Re: A tricky puzzle

Postby rjamil » Sat Aug 11, 2018 2:03 am

SteveG48 wrote:I agree that the mistress should get the extra.

If you are referring to the specific puzzles/cases in which a man dies and leaves behind a wife, a daughter (case a, or daughters case b) and his parents; and according to the Quran stipulates what is the share of whom as follows:

a)
Wife is 1/8 = 3/24
Daughter 1/2 = 12/24
Father 1/6 = 4/24
Mother 1/6 = 4/24
Total = 23/24

b)
Wife is 1/8 = 3/24
Daughters 2/3 = 16/24 (divide 2/3 share among daughters equally.)
Father 1/6 = 4/24
Mother 1/6 = 4/24
Total = 27/24
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Re: A tricky puzzle

Postby SteveG48 » Sat Aug 11, 2018 12:52 pm

rjamil wrote:
SteveG48 wrote:Wife is 1/8 = 3/24
Daughters 2/3 = 16/24 (divide 2/3 share among daughters equally.)
Father 1/6 = 4/24
Mother 1/6 = 4/24
Total = 27/24


27/24? Seriously?
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Re: A tricky puzzle

Postby tarek » Sat Aug 11, 2018 4:19 pm

SteveG48 wrote:27/24? Seriously?

I think the Goldsmith will have a problem with this one :D

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Re: A tricky puzzle

Postby rjamil » Sat Aug 11, 2018 5:22 pm

Hi again,

Actually, these types of equations need to be normalization (either statistically or quantitatively) first in order to achieve precise shares

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a) … with only one daughter case:
1   1   1   1   23
- + - + - + - = --
8   2   6   6   24

Multiply both the sides by 24 and divide by 23:

1   24   1   24   1   24   1   24   23   24
- x -- + - x -- + - x -- + - x -- = -- x --
8   23   2   23   6   23   6   23   24   23

 3   12    4    4
-- + -- + -- + -- = 1
23   23   23   23

b) … with two or more daughters (divide two-third of the heirship share in to each daughter equally):
1   2   1   1   27
- + - + - + - = --
8   3   6   6   24

Multiply both the sides by 24 and divide by 27:

1   24   2   24   1   24   1   24   27   24
- x -- + - x -- + - x -- + - x -- = -- x --
8   27   3   27   6   27   6   27   24   27

 3   16    4    4
-- + -- + -- + -- = 1
27   27   27   27
Now the above equations show normalized shares. Multiply whatever the actual value of heirship in to both the sides of normalized equation, one will get each share precisely.

R. Jamil
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Re: A tricky puzzle

Postby tarek » Sat Aug 11, 2018 9:30 pm

Is that then the solution to the tricky puzzle "Normaization"? :idea:

(1/2 + 1/3 + 1/9) * 18/17 = 17/18 * 18/17

9/17 + 6/17 + 2/17 = 17/17

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Re: A tricky puzzle

Postby rjamil » Sat Aug 11, 2018 10:16 pm

tarek wrote:Is that then the solution to the tricky puzzle "Normaization"?

The normalization is the method/process to calculate these type of puzzles.

tarek wrote:(1/2 + 1/3 + 1/9) * 18/17 = 17/18 * 18/17

9/17 + 6/17 + 2/17 = 1

So, your above mentioned equation is shown as the op tricky puzzle's normalization form (i.e., right hand side of the equation must be equals to 1). it's now needs to multiply both the sides by the quantity/amount of heritage in order to achieve the results precisely.
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Re: A tricky puzzle

Postby David P Bird » Sun Aug 12, 2018 7:35 am

Say chaps, it has been 5 days, and you still haven't given any thought to the poor man's funeral or sorted out how its costs should be divided.
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