julieacelaEiluj9023 julieacelaEiluj9023
  • 22-05-2020
  • Mathematics
contestada

Um número é o quíntuplo do outro e a soma dos dois é 54. De acordo com essas informações, podemos afirmar que a diferença entre o maior número e o menor número será:

Respuesta :

pedrocarratore
pedrocarratore pedrocarratore
  • 26-05-2020

Answer:

36

Step-by-step explanation:

A partir das informações fornecidas, as seguintes equações podem ser modeladas:

[tex]X=5Y\\X+Y=54\\[/tex]

Resolvendo o sistema:

[tex]Y+5Y=54\\Y=9\\X=9*5=45[/tex]

A diferença entre eles é:

[tex]X-Y=45-9\\X-Y=36[/tex]

A diferença entre o maior número e o menor número é 36.

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