bonsoir quelqu'un pourrais m'aider svp ? merci se qui le feront ^•^​

Réponse :

Explications étape par étape

Bonsoir

..............431

..........|..A.|..B...|

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

...|.9..|.24.|.F...| 45...|

C = 24 + 9 = 33

D = 24 + F

E = F + 45

A = C + D = 33 + 24 + F = 57 + F

B = D + E = 24 + F + F + 45 = 69 + 2F

A + B = 431

57 + F + 69 + 2F = 431

3F = 431 - 57 - 69

3F = 305

F = 305/3

D = 24 + F = 24 + 305/3 = 72/3 + 305/3 = 377/3

E = F + 45 = 305/3 + 45 = 305/3 + 135/3 = 440/3

A = C + D = 33 + 377/3 = 99/3 + 377/3 = 476/3

B = 377/3 + 440/3 = 817/3

476/3 + 817/3 = 1293/3 = 431

..................431

.........|476/3.| 817/3|

......|.33.|377/3.| 440/3|

...|.9..|.24.|.305/3.| 45...|

.................| 455 |

............|..A..|....B....|

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

.....| 22 |..F.|...G..|..H.....|

..| 17..|..I..|.J..| 45....|. 23 |

I = 22 - 17 = 5

J + 5 = F

45 + J = G

H = 45 + 23 = 68

C = 22 + F = 22 + J + 5 = J + 27

D = F + G = J + 5 + 45 + J = 50 + 2J

E = G + 68 = J + 45 + 68 = J + 113

A = C + D = J + 27 + 50 + 2J = 3J + 77

B = D + E = 50 + 2J + J + 113 = 3J + 163

3J + 77 + 3J + 163 = 455

6J = 455 - 163 - 77

6J = 215

J = 215/6

F = 215/6 + 5 = 215/6 + 30/6 = 245/6

G = 215/6 + 45 = 215/6 + 270/6 = 485/6

C = 22 + 245/6 = 132/6 + 245/6 = 377/6

D = 245/6 + 485/6 = 730/6 = 365/3

E = 485/6 + 68 = 485/6 + 408/6 = 893/6

A = 377/6 + 730/6 = 1107/6 = 369/2

B = 730/6 + 893/6 = 1623/6 = 541/2

369/2 + 541/2 = 910/2 = 455

.................| 455 |

............|369/2|.541/2.|

........|377/6| 365/3 |893/6|

.....| 22 |245/6.|485/6|..68...|

..| 17..|..5.....|215/6.| 45....|. 23 |