Réponse :

Explications étape par étape

Bonjour

Somme d’un carré magique

A ....| B ....| 1/4 | C

D ....| 5/4 | 11/8 | E

9/8 | 3/4 | 7/8 | 3/2

1/2 | F ....| G ...| 1/8

Somme du carré magique :

9/8 + 3/4 + 7/8 + 3/2 = 16/8 + 6/8 + 12/8 = 34/8 = 17/4

3eme colonne :

G = 17/4 - 1/4 - 11/8 - 7/8

G = 16/4 - 18/8

G = 4 - 9/4

G = 16/4 - 9/4

G = 7/4

Diagonale :

A = 17/4 - 5/4 - 7/8 - 1/8

A = 12/4 - 8/8

A = 3 - 1

A = 2

1ère colonne :

D = 17/4 - 2 - 9/8 - 1/2

D = 17/4 - 16/8 - 9/8 - 4/8

D = 17/4 - 29/8

D = 34/8 - 29/8

D = 5/8

2eme ligne :

E = 17/4 - 5/8 - 5/4 - 11/8

E = 12/4 - 16/8

E = 3 - 2

E = 1

4ème colonne :

C = 17/4 - 1 - 3/2 - 1/8

C = 34/8 - 8/8 - 12/8 - 1/8

C = 34/8 - 21/8

C = 13/8

1ère ligne :

B = 17/4 - 2 - 1/4 - 13/8

B = 34/8 - 16/8 - 2/8 - 13/8

B = 34/8 - 31/8

B = 3/8

4ème ligne :

F = 17/4 - 1/2 - 7/4 - 1/8

F = 34/8 - 4/8 - 14/8 - 1/8

F = 34/8 - 19/8

F = 15/8

2 ....| 3/8 | 1/4 | 13/8

5/8 | 5/4 | 11/8 | 1

9/8 | 3/4 | 7/8 | 3/2

1/2 | 15/8 | 7/4.| 1/8