Complète le carré magique (pour l'addition) merci de m’aider

Réponse :

Explications étape par étape

Bonsoir

20/7 | 5/14 | 15/7

15/14 | ...A..|...B....

....C....|....D.|....E....

Somme :

20/7 + 5/14 + 15/7 = (20 x 2)/(7 x 2) + 5/14 + (15 x 2)/(7 x 2) = 40/14 + 5/14 + 30/14 = 75/14

20/7 + 15/14 + C = 75/14

C = 75/14 - 40/14 - 15/14

C = 20/14

C = (2 x 10)/(2 x 7)

C = 10/7

15/7 + A + 10/7 = 75/14

A = 75/14 - 30/14 - 20/14

A = 25/14

5/14 + 25/14 + D = 75/14

D = 75/14 - 5/14 - 25/14

D = 45/14

15/14 + 25/14 + B = 75/14

B = 75/14 - 15/14 - 25/14

B = 35/14

B = (7 x 5)/(7 x 2)

B = 5/2

10/7 + 45/14 + E = 75/14

E = 75/14 - 20/14 - 45/14

E = 10/14

E = (2 x 5)/(2 x 7)

E = 5/7

20/7 | 5/14 | 15/7

15/14 | 25/14| 5/2

10/7..|..45/14|.5/7