Mia is three years older than twice her sister brooke's age. The sum of their ages is less than 30. what is the greatest age Brooke can be?

Answer: 9

Step-by-step explanation: You can start by setting this up as an equation, where X is Brooke's age.

X + 2 (x) + 3 = 30

The 2 (X) + 3 signifies the part of the problems identifying that Mia is twice her sisters age plus 3 years.

Combine x's

3x + 3 = 30

Subtract 3 from both sides to isolate the x term

3x = 27

Divide both sides by 3 to reduce to a single x

X = 9, which is brooke's age