guadanapuchurijulios guadanapuchurijulios
  • 11-09-2020
  • Mathematics
contestada

la edad de josé y beatriz están en la relacion de 5 a4 . si dentro de 3 años la suma de ambas edades seran 60 años , ¿ cual es la edad de beatriz ?

Respuesta :

zarampa
zarampa zarampa
  • 12-09-2020

Answer:

La edad actual de Beatriz es de:

30 años

Step-by-step explanation:

Planteamiento:

5e = 4b

(e+3) + (b+3) = 60

e = edad actual de José

b = edad actual de Beatriz

Desarrollo:

de la segunda ecuación del planteamiento:

e + b + 6 = 60

e + b = 60 - 6

e + b = 54

e = 54 - b

sustituyendo este último valor en la primer ecuación del planteamiento:

5(54-b) = 4b

5*54 + 5*-b = 4b

270 - 5b = 4b

270 = 4b + 5b

270 = 9b

b = 270/9

b = 30

e = 54 - b

e = 54 - 30

e = 24

Comprobación:

5e = 4b

5*24 = 4*30 = 120

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