To determine Maggie's age, we can set up an equation using the given information.
Given:
Maggle's brother is 4 years younger than three times her age.
The sum of their ages is 16.
Let's represent Maggie's age as "x".
According to the given information:
Maggle's brother's age = 3x - 4
Their sum of ages = x + (3x - 4) = 16
Combining like terms:
4x - 4 = 16
Adding 4 to both sides:
4x = 20
Dividing both sides by 4:
x = 5
Therefore, Maggie is 5 years old.