Henry Ernest Dudeney/Modern Puzzles/176 - The Five-Pointed Star

by : $176$

 * The Five-Pointed Star
 * There is something very fascinating about star puzzles.
 * I give an example, taking the case of the five-pointed star.


 * Dudeney-Modern-Puzzles-176.png


 * It is required to place a different number in every circle so that the four circles in a line shall add up to $24$ in all the five directions.
 * No solution is possible with $10$ consecutive numbers, but you can use any whole numbers you like.