Thread: Aunti's Share!

here is a puzzle from Shakuntala Devi's:

When my uncle in Madura died recently, he left a will, instructing his
executors to dividehis estate of Rs 1,920,000 in this manner:
Every son sould receive three times as much as a daughter, and that every
daughter should get twice as much as their mother. What is my aunt's share?

the answer is mentioned like this:


-----------------------------------
can anyone get the answer!!!!?
i've asked many ppl, but nobody solved it!
please HELP!

Hello, andro45!

I explained this at another site.
Some information is missing . . . and the given answer is wrong!

When my uncle died recently, he left a will, instructing his executors
to divide his estate of $1,920,000 in this manner:

Every son sould receive three times as much as a daughter,
and that every daughter should get twice as much as their mother.

What is my aunt's share?

The answer is: . . Impossible!

Let = the mother's share.
Then = each daughter's share.
And = each son's share.

Let = number of sons.
. . They will receive dollars.

Let = number of daughters.
. . They will receive dollars.

Their mother will receive dollars.

Hence: .


And we have: . .[1]



If is the answer,

. . then [1] becomes: .





~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~


Perhaps there is a typo in that answer.

Maybe it is: .49,230

Then [1] becomes: .


This gives us: .

. . but why should this be true?

OMG! thanks for the reply! that was so great.
i cannot understand, her book of Puzzles to puzzle you has its 40th edition now, why such a thing should happen to the book of the "HUMAN COMPUTER"?
i'm confused.

thanks again to you,

If "least possible" people involved:
xxmother(1) : 128000
daughter(1) : 256000
xxxxsons(2) :1536000
xxxxtotal(4) : 1920000

4 people

Dear Wilmer, so how do you interpret the given answer:


thanks

As somebody playing a joke on us!