QUESTION: Complete the grid in such a way that each segment of three numbers totals the same. When this has been done correctly each of the three concentric circles of eight numbers will produce identical totals. Now complete the diagram.
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MATH PROBLEM!
2007-05-14 1:57 am
回答 (1)
2007-05-16 9:01 am
✔ 最佳答案
the Sum of Each Segment = 42so
the numbers are:
18 13 15 13 14 12 16 x (just symmetrical)
x 15 13 14 13 16 16 18 (just symmetrical)
y 14 14 15 15 14 14 y (just symmetrical)
Therefore, x+y = 24 (because 42-18) (Sum of a segment)
And, 101+x = 86 + 2y (Sum of Outside or middle circle)
2y - x = 25 (Sum of inner circle)
Solving the equation,
x = 23/3, and y = 49/3
As the question does NOT need the numbers are integer, so I think this solution is OK
收錄日期: 2021-04-24 08:21:49
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