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
- c. 800: Alcuin of York: Propositiones ad Acuendos Juvenes ... (previous) ... (next)
- 1992: John Hadley/2 and David Singmaster: Problems to Sharpen the Young (Math. Gazette Vol. 76, no. 475: pp. 102 – 126) www.jstor.org/stable/3620384
- 1992: David Wells: Curious and Interesting Puzzles ... (previous) ... (next): 'Propositions to Sharpen Up the Young': $80$