RĂ©ponse :
Explications Ă©tape par Ă©tape
Bonjour
quel nombre apparait dans la case grise si chaque case ( a part les 5 case de la ligne du bas ) est la somme des deux cassea sur laquelle elle repose​
..................| 96 |
................| A | B |
............| 33 | C | 19 |
..........| D | E | F | G |
.......| 8 | H | I | J | 6 |
A = 33 + C
B = 19 + C
A + B = 96
33 + C + 19 + C = 96
2C = 96 - 33 - 19
C = 44/2
C = 22
A = 22 + 33 = 55
B = 22 + 19 = 41
8 + H + H + I = 33 => 8 + 2H + I = 33
=> 2H + I = 33 - 8 = 25
H + I + I + J = 22 => H + 2I + J = 22
I + J + J + 6 = 19 => I + 2J + 6 = 19
=> I + 2J = 19 - 6 = 13
2H + I = 25 => H = (25 - I)/2
H + 2I + J = 22
I + 2J = 13 => J = (13 - I)/2
(25 - I)/2 + 2I + (13 - I)/2 = 22
25/2 - I/2 + 2I + 13/2 - I/2 = 22
38/2 - I + 2I = 22
I = 22 - 19
I = 3
J = (13 - 3)/2 = 10/2 = 5
H = (25 - 3)/2 = 22/2 = 11
H = 11 ; I = 3 ; J = 5
D = 8 + 11 = 19
E = 11 + 3 = 14
F = 3 + 5 = 8
G = 5 + 6 = 11
La case grisée est : 3
.....................| 96 |
................| 55 | 41 |
............| 33 | 22 | 19 |
...........| 19 | 14 | 8 | 11 |
.........| 8 | 11 | 3 | 5 | 6 |
