Réponse :
Explications étape par étape
Bonjour
Complète le carré magique :
20/7 | 5/14 | 5/7
15/14 | ........| .......
.......... | ....... | .......
On détermine la somme :
= 20/7 + 5/14 + 15/7
= 40/14 + 5/14 + 30/14
= 75/14
1ère colonne :
20/7 + 15/14 + .... = 75/14
... = 75/14 - 40/14 - 15/14
... = 75/14 - 55/14
... = 20/14
... = 10/7
Diagonale :
5/7 + ... + 10/7 = 75/14
... = 75/14 - 10/14 - 20/14
... = 45/14
2eme colonne :
5/14 + 45/14 + ... = 75/14
... = 75/14 - 50/14
... = 25/14
2eme ligne :
15/14 +45/14 + ... = 75/14
... = 75/14 - 60/14
... = 15/14
Dernière colonne :
5/7 + 15/14 + ... = 75/14
... = 75/14 - 10/14 - 15/14
... = 50/14
... = 25/7
20/7 | 5/14 | 5/7
15/14 | 45/14 | 15/14
10/7 | 25/14 | 25/7
