Réponse :
compléter le carré magique
Explications étape par étape :
3ème colonne : 3 + 13/11 + 2 + 3/5
5 + 13/11 + 3/5
275/55 + 65/55 + 33/55 = (275+65+33)/55 = 373/55
2ème ligne : x + 7/5 + 13/11 + 1 = 373/55
x + 77/55 + 65/55 + 55/55 = 373/55
x + 197/55 = 373/55
x = 373/55 - 197/55 = 176/55 = 16/5
1ère colonne : 1/5 + 16/5 + y + 13/5 = 373/55
y + 30/5 = 373/55
y = 373/55 - 30/5 = 373/55 - 330/55 = 43/55
3ème ligne : 43/55 + 11/5 + 2 + z = 373/55
121/55 + 110/55 + z = 373/55
z = 373/55 - 231/55 = 42/55
1ère Diagonale : 1/5 + 7/5 + 2 + t = 373/55
11/55 + 77/55 + 110/55 + t = 373/55
t = 373/55 - 198/55 = 175/55 = 35/11
2ème diagonale : 13/5 + 11/5 + 13/11 + m = 373/55
24/5 + 13/11 + m = 373/55
264/55 + 65/11 + m = 373/55
m = 373/55 - 329/55 = 44/55 = 4/5
