anavalentina32400663 anavalentina32400663
  • 23-09-2022
  • Mathematics
contestada

El mayor de dos números es 1 menos que 3 veces el número menor. La suma de los dos números es 35. ¿Cuál es el número mayor?

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El mayor de dos números es 1 menos que 3 veces el número menor La suma de los dos números es 35 Cuál es el número mayor class=

Respuesta :

zarampa
zarampa zarampa
  • 23-09-2022

Answer:

26.5

Step-by-step explanation:

Planteamiento:

a - 1 = 3b

a + b = 35

Desarrollo:

de la primer ecuación del planteamiento:

a = 3b + 1

sustituyendo este último valor en la segunda ecuación del planteamiento:

(3b+1) + b = 35

4b = 35 - 1

4b = 34

b = 34/4

b = 8.5

de la segunda ecuación del planteamiento:

a + 8.5 = 35

a = 35 - 8.5

a = 26.5

Comprobación:

de la primer ecuación del planteamiento:

a - 1 = 3b

26.5 - 1 = 3*8.5

25.5 = 25.5

Respuesta:

ya que:

26.5>8.5

El número mayor es:

26.5

Answer Link

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