question : use the whole numbers from 6 to 10 exactly once in the following outer circle so that the total along each line is 23 ? please give answer fast
Answers
Given : use the whole numbers from 6 to 10 exactly once in the following outer circle
total along each line is 23
To Find : Fill the numbers
Solution:
C
A E B
D
Let say number filled are
A , B , C , D and E
E is in center
A and B are opposite
C & D are opposite
Sum A + E + B = 23
C + E + D = 23
Adding both
A + B + C + D + E + E = 46
A + B + C + D + E = 6 + 7 + 8 + 9 + 10 = 40
=> 40 + E = 46
=> E = 6
A + E + B = 23 => A + B = 17
C + E + D = 23 => C + D = 17
17 can be obtained as 8 + 9 or 7 + 10
7
8 6 9
10
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