Fill in grids so that each column, row and diagonal add up to the given sum.
Answers
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Given : Sum of each column row and diagonal = 136
48 4
8 56
40
20 36 16
To Find : Missing Number
Solution:
D1 C1 C2 C3 C4 = 136
R1 ? ? 48 4 = 136
R2 8 ? ? 56 = 136
R3 ? 40 ? ? = 136
R4 ? 20 36 16 = 136
D2 136 136 136 136 = 136
Where ever we have 3 terms we can find 4th term
R4 = ? + 20 + 36 + 16 = 136 => ? = 64
D2 = 64 + 40 + ? + 4 = 136 => ? = 28
C3 = 48 + 28 + ? + 36 = 136 => ? = 24
C4 = 4 + 56 + ? + 16 = 136 => ? = 60
R3 = ? + 40 + 24 + 60 = 136 => ? = 12
C1 = ? + 8 + 12 + 64 = 136 => ? = 52
similarly solve for R1 and R2
D1 C1 C2 C3 C4 = 136
R1 52 32 48 4 = 136
R2 8 44 28 56 = 136
R3 12 40 24 60 = 136
R4 64 20 36 16 = 136
D2 136 136 136 136 = 136
Complete Square is
52 32 48 4
8 44 28 56
12 40 24 60
64 20 36 16
in 2nd one
solve C1 , C2 , R2 , R4 , D1 , R3 , C3 , R1 , C4
3 42 45 12
36 21 18 27
24 33 30 15
39 6 9 48
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