Interview Question 3757
Created by admin on Mon, 19/11/2012 - 11:23
Question:
The numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 must be put in the depicted triangle, in such a way that the sums of the numbers on each side are equal. How should the numbers be arranged in the triangle?
Language:
Answer:
There are 18 solutions to this problem, when you leave out all rotations and mirror solutions. They are all listed below:
1
5 7
9 6
2 4 8 3
1
5 8
9 3
4 2 6 7
1
6 9
8 4
2 5 7 3
1
6 9
8 2
4 3 5 7
1
6 7
8 3
5 2 4 9
2
4 7
9 3
5 1 6 8
2
5 6
9 4
3 1 8 7
1
5 7
9 6
2 4 8 3
1
5 8
9 3
4 2 6 7
1
6 9
8 4
2 5 7 3
1
6 9
8 2
4 3 5 7
1
6 7
8 3
5 2 4 9
2
4 7
9 3
5 1 6 8
2
5 6
9 4
3 1 8 7
2
6 9
7 1
5 3 4 8
2
6 9
8 1
3 4 5 7
3
2 6
9 4
7 1 5 8
3
4 9
8 1
5 2 6 7
3
4 7
8 2
6 1 5 9
3
5 9
6 1
7 2 4 8
3
5 8
7 1
6 2 4 9
4
2 7
9 3
5 1 8 6
4
3 9
8 1
5 2 7 6
6 9
7 1
5 3 4 8
2
6 9
8 1
3 4 5 7
3
2 6
9 4
7 1 5 8
3
4 9
8 1
5 2 6 7
3
4 7
8 2
6 1 5 9
3
5 9
6 1
7 2 4 8
3
5 8
7 1
6 2 4 9
4
2 7
9 3
5 1 8 6
4
3 9
8 1
5 2 7 6
7
2 4
6 3
8 1 5 9
7
3 6
5 1
8 2 4 9.
2 4
6 3
8 1 5 9
7
3 6
5 1
8 2 4 9.