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.

The age of Noelle's dad is 54 years and that of Noelle is 20 years.

Step-by-step explanation:

Let the age of Noelle's dad is x years and that of Noelle is (74 - x) years.

{Since, the sum of their ages is 74}

Now, given that the age of Noelle's dad is 6 less than 3 times Noelle's age.

So, 3 (74 - x) - 6 = x

⇒ 4x = 222 - 6 = 216

⇒ x = 54

So, the age of Noelle's dad is 54 years and that of Noelle is (74 - 54) = 20 years. (Answer)