Henry Ernest Dudeney/Puzzles and Curious Problems/279 - Roses, Shamrocks, and Thistles/Solution
Jump to navigation
Jump to search
Puzzles and Curious Problems by Henry Ernest Dudeney: $279$
- Roses, Shamrocks, and Thistles
- Place the numbers $1$ to $12$ (one number in every design) so that they shall add up to the same sum in the following $7$ different ways --
- viz., each of the two centre columns, each of the two central rows,
- the four roses together, the four shamrocks together, and the four thistles together.
Solution
- It is clear that the sum obtained in the different ways is $26$.
- Here is one of many arrangements that solve the puzzle.
Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Solutions: $279$. -- Roses, Shamrocks, and Thistles
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $400$. Roses, Shamrocks, and Thistles