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Put the numbers 1 through 13 in 13 circlesso that three circles on a straight line add up to 21?
Wiki User
∙ 12y ago
First find the center number.
Then find number for each end.
The formula for center number is highest number plus 1 then divide by 2.
The first group will start with 1 (lowest) and 13 (largest)
The next group will be the lowest from previous group plus 1 and previous largest number minus 1. ie 1 + 1 = 2; 13 -1 = 12
The center is 7 ((13 + 1)/7 = 7).
You now need to find two other numbers to add with center number so that total will be 21.
The lowest number is 1 and largest is 13.
The next group will be lowest number plus 1 and highest number minus 1. So the number will be
1 + 13 + 7
2 + 12 + 7
3 + 11 + 7
4 + 10 + 7
...
...
go on until all numbers are used.
Wiki User
∙ 12y ago
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