2 pommes et 3 poires pèsent 255g. 3 pommes et 2 poires pèsent 285g. combien pèsent 1 pomme et 1 poire ensemble ?

By: USER4412
27 Agustus 2025 mathematiques 5 minutes
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Question

Grade: Education Subject: mathematiques
2 pommes et 3 poires pèsent 255g. 3 pommes et 2 poires pèsent 285g. combien pèsent 1 pomme et 1 poire ensemble ?
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Answer (112)

Best Answer
(554)
Soit x le poids d'une pomme et y le poids d'une poire :
2x + 3y = 255 
3x + 2y = 285

- 4x - 6y = - 510
9x + 6y = 855
5x = 345
x = 345/5
x = 69 g
Une pomme pèse 69 g

2x + 3y = 255
2 * 69 + 3y = 255
138 + 3y = 255
3y = 255 - 138
3y = 117
y = 117/3
y = 39 g
Une poire pèse 39 g

Donc :
69 + 39 = 108 g
Une poire et une pomme ensemble pèsent : 108 g
Voila j'espere t'avoir aidé
Answered on 27 Agustus 2025

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