Respuesta :
Answer:
Lauren is now 12 years old.
Step-by-step explanation:
Lauren is now 12 years old, and Elizabeth is 19.
5 years ago, when Lauren was 7 years old, Elizabeth was twice her age, so she was 14.
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An equation is formed when two equal expressions. Lauren is currently 12 years old.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the present age of Elizabeth be represented by E, while the present age of Lauren is represented by L.
Given that Elizabeth is 7 years older than her sister Lauren.
Therefore, we can write the relation between their age as,
E = L + 7
Also, it is given that Five years ago, Elizabeth was twice Lauren's age.
(E - 5) = 2(L - 5)
E - 5 = 2L - 10
Substitute the value of E from the first equation,
L + 7 - 5 = 2L - 10
7 - 5 + 10 = 2L - L
L = 12
Hence, Lauren is currently 12 years old.
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