The age of Noelle's dad is 6 less than 3 times Noelle's age. The sum of their ages is 74. Find their ages. Provide your answer below: $$ Noelle:, Noelle's Dad

The age of Noelle = 20 years

Age of Noelle's dad = 54 years

Step-by-step explanation:

Here, Let us assume:

The age of Noelle's age = m years

So, the age of Noelle's dad = 3 x (Age of Noelle) - 6 = 3 (m) - 6

Also, sum of both the ages = 74

So, sum of (Noelle's age + Noelle's dad's) age = 74 years

⇒ m + (3 m - 6) = 74

or, 4 m = 74 + 6 = 80

or, m = 80 / 4 = 20

⇒ m = 20

Hence, the age of Noelle = m - 3 = 20 years

Age of Noelle's dad = 3 m - 6 = 3 (20) - 6 = 54 years