Henry Ernest Dudeney/Puzzles and Curious Problems/11 - Distribution
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Puzzles and Curious Problems by Henry Ernest Dudeney: $11$
- Distribution
- Nine persons in a party, $A$, $B$, $C$, $D$, $E$, $F$, $G$, $H$, $K$, did as follows:
- First $A$ gave each of the others as much money as he (the receiver) already held;
- then $B$ did the same; then $C$; and so on to the last,
- $K$ giving to each of the other eight persons the amount the receiver then held.
- Then it was found that each of the nine persons held the same amount.
- Can you find the smallest amount in pence that each person could have originally held?
Click here for solution
Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Money Puzzles: $11$. -- Distribution
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Money Puzzles: $18$. Distribution