completez le carre magique

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