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?