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An ambiguous inheritance (Posted on 2017-07-25) Difficulty: 3 of 5
This particular problem is attributed to Alcuin. The wording does not give sufficient information to answer the question without making legal assumptions. Please share your assumptions with your solution.

A dying man left 960 shillings and a pregnant wife. He directed that if a boy was born, he should receive three-quarters of the whole and the child's mother should receive one-quarter. But if a daughter was born, she would receive seven-twelfths, and her mother five-twelfths. It happened however that twins were born - a boy and a girl. How much should the mother receive, how much the son, and how much the daughter?

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Hints/Tips Queen Ambiguity | Comment 1 of 4

https://www.maa.org/press/periodicals/convergence/using-historical-problems-in-the-middle-school-a-problem-from-alcuin-of-york

The above article  lists many possible approaches with distinct results.   

I would like to add another variant of possible assumption: depends who of the twins was delivered first:  

Case 1 �"boy gets 3/4  , mother & girl divide rhe remaining 5:7  i.e. 5/48 mother and 7/48 girl

Case 2 �"girl gets  7/12  , mother & boy  divide the remaining  1:3    - mother 5/48  boy 5/16  

          


Edited on July 25, 2017, 1:18 pm
  Posted by Ady TZIDON on 2017-07-25 13:09:41

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