The number 1 to 9 have been arranged in a pattern of triangles so that the sum along each side of the triangles is 22. Find another such arrangement of the numbers to make the totals equal.
To find another arrangement of the numbers 1 to 9 in a pattern of triangles with a sum of 22 along each side, we can approach it through trial and error.
Explanation:
Let's start by placing the number 1 at the top of the triangle and 9 at the bottom, as they are the smallest and largest numbers in the sequence.
1
2 3
4 5 6
7 8 9
Now, we need to find suitable placements for the remaining numbers so that the sum along each side is 22. We can observe that the sum of any three consecutive numbers is 15 (1 + 2 + 3 = 4 + 5 + 6 = 7 + 8 + 9 = 15).
Using this information, we can try different combinations:
1
6 8
3 7 9
5 4 2
By adding the numbers along each side, we can see that the sum is 22:
1 + 6 + 8 = 15
6 + 3 + 7 = 16
8 + 7 + 9 = 24
3 + 9 + 5 = 17
7 + 5 + 4 = 16
9 + 4 + 2 = 15
Thus, the arrangement above satisfies the condition, and the sum along each side of the triangles is indeed 22.
Answers & Comments
To find another arrangement of the numbers 1 to 9 in a pattern of triangles with a sum of 22 along each side, we can approach it through trial and error.
Explanation:
Let's start by placing the number 1 at the top of the triangle and 9 at the bottom, as they are the smallest and largest numbers in the sequence.
1
2 3
4 5 6
7 8 9
Now, we need to find suitable placements for the remaining numbers so that the sum along each side is 22. We can observe that the sum of any three consecutive numbers is 15 (1 + 2 + 3 = 4 + 5 + 6 = 7 + 8 + 9 = 15).
Using this information, we can try different combinations:
1
6 8
3 7 9
5 4 2
By adding the numbers along each side, we can see that the sum is 22:
1 + 6 + 8 = 15
6 + 3 + 7 = 16
8 + 7 + 9 = 24
3 + 9 + 5 = 17
7 + 5 + 4 = 16
9 + 4 + 2 = 15
Thus, the arrangement above satisfies the condition, and the sum along each side of the triangles is indeed 22.
For more such questions on pattern:
https://brainly.in/question/320254
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