Final answer:
The age of Serenity's brother can be found by setting up and solving an equation based on the given information. The age of Serenity's brother is 11 years old.
Step-by-step explanation:
The question can be represented using algebraic expressions. Let's assume the brother's age as x. According to the information given, Serenity is four years younger than twice her brother's age, which can be expressed as 2x - 4.
We are also given that Serenity is 18 years old, so we can set up the equation 2x - 4 = 18.
Solving this equation will give us the value of x, the age of Serenity's brother.
2x - 4 = 18
2x = 18 + 4
2x = 22
x = 22/2
x = 11
Therefore, the age of Serenity's brother is 11 years old.