Answer: Noelle's age is 20 years
Noelle's father is 54 years
Step-by-step explanation: First of all, let Noelle's age be represented by x. Given that her father's age is 6 less than three times her age, her father's age would be expressed as
3n - 6
Note also that their ages sum up to 74.
Therefore,
n + (3n - 6) = 74
n + 3n - 6 = 74
4n - 6 = 74
Add 6 to both sides of the equation
4n = 80
Divide both sides of the equation by 4
n = 20
Hence, Noelle's father's age is 54 (that is 3n - 6)
While Noelle's age is 20