Propositiones ad Acuendos Juvenes/Problems/12 - De Quodam Patrefamilias et Tribus Filiis Eius

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Propositiones ad Acuendos Juvenes by Alcuin of York: Problem $12$

De Quodam Patrefamilias et Tribus Filiis Eius
A father and his three sons
A father, when dying, gave to his sons $30$ glass flasks,
of which $10$ were full of oil,
$10$ were half full,
and the last $10$ were empty.
Divide the oil and the flasks so that each of the $3$ sons receives equally of both glass and oil.


Solution

To each son will come $10$ flasks, as follows:

To one son, give him all the half full flasks.
To the other sons, give them $5$ full flasks and $5$ empty ones.


Also presented as

Some sources state that the flasks contained wine rather than oil.


Sources