Luara is 5 years older than her sister Elisabeth. She figured out that in 4 years she will be two times older than Elisabeth. How old are they now?

Respuesta :

Answer: Elizabeth's present age = 1 year

Luara's present age = 1+5=6 years

Step-by-step explanation:

Let x be the age of Elisabeth then

Age of Luara= x+5

After 4 years,

Elizabeth's age = x+4

Luara's age =x+5+4=x+9

According to the question, we have

[tex]x+9=2(x+4)\\\Rightarrow\ x+9=2x+8\\\Rightarrow\ 2x-x=9-8\\\Rightarrow\ x=1[/tex]

Hence, Elizabeth's present age = 1 year

Luara's present age = 1+5=6 years