O---o---O
/ \ / \
o o o o
/ \ / \
O---o---O---o---O
\ / \ /
o o o o
\ / \ /
O---o---O

Arrange the numbers 1 to 19 in the circles, so all the rows of 3 numbers between O (big o) sums to 23

Example :

a---b---c
/ \ / \
d e f g
/ \ / \
h---i---j---k---l
\ / \ /
m n o p
\ / \ /
q---r---s

a+b+c = a+e+j = c+f+j = 23, and so on....

Note :

There are 2 solutions, if we rule out reflections and rotations.

Bonus Puzzle : How if all the rows of 3 numbers between O (big o) sums to 22,24,25,26,27,28,29,31,32,33,34,35,36, 37, and 38. I have checked all the solutions by computer, and all those sums have solutions.

## Question

## jasen

Example :

a+b+c = a+e+j = c+f+j = 23, and so on....

Note :

Bonus Puzzle : How if all the rows of 3 numbers between O (big o) sums to 22,24,25,26,27,28,29,31,32,33,34,35,36, 37, and 38. I have checked all the solutions by computer, and all those sums have solutions.

Edited by jasen## Link to comment

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