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