Mathematics: 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?

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Luara is 5 years older than her sister elisabeth.

grace9874

04.01.2022

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

$x+9=2(x+4)\\\Rightarrow\ x+9=2x+8\\\Rightarrow\ 2x-x=9-8\\\Rightarrow\ x=1$

Hence, Elizabeth's present age = 1 year

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

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