Henry Ernest Dudeney/Puzzles and Curious Problems/357 - The Wheel Puzzle/Solution

Puzzles and Curious Problems by Henry Ernest Dudeney: $357$

The Wheel Puzzle

Place the numbers $1$ to $19$ in the $19$ circles,

so that wherever there are three in a straight line they shall add up to $30$.

Solution

Place $10$ in the centre.

Place the numbers $1$ to $9$ around the outside, with $11$ to $19$ opposite them to make each line add up as appropriate.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Solutions: $357$. -- The Wheel Puzzle
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $402$. The Wheel Puzzle