Write the numbers from 1 to 12 in the magic star, so that the sum of four numbers on each line is always 26.
Answers
Given : numbers from 1 to 12 in the magic star, so that the sum of four numbers on each line is always 26
To Find : Combination
Solution:
A
B C D E
F G
H I J K
L
B = 1 L = 3
B + F + I + L = 26
=> 1 + F + I + 3 = 26
=> F + I = 22
F & I are 12 & 10
if F = 12 & I = 10
Then A + C = 7 , J + K = 9
if F = 10 & I = 12
Then A + C = 9 , J + K = 7
Taking Case 1
F = 12 & I = 10
A + C = 7 2 + 5 = 7 only possible as 1 & 3 already used
C = 2 not possible hence
C = 5 , A = 2
J + K = 9 1 + 8 = 2 + 7 = 3 + 6 = 4 + 5
but 1 , 2 , 3 , 5 already used Hence not possible
Taking Case 2
F = 10 & I = 12
Then A + C = 9 , J + K = 7
J + K = 7 , 2 + 5
A + C = 9 , 1 + 8 = 2 + 7 = 3 + 6 = 4 + 5
but 1 , 2 , 3 , 5 already used Hence not possible
so No feasible solution
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