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

Answer:The age of Noelle  =  20 yearsAge of Noelle's dad   = 54 yearsStep-by-step explanation:Here, Let us assume:The age of Noelle's age = m yearsSo, the age of Noelle's dad = 3 x ( Age of Noelle)  - 6    =  3(m)  - 6Also, sum of both the ages = 74So, sum of (Noelle's age  +  Noelle's dad's)  age = 74 years⇒ m + ( 3 m  - 6)  = 74or, 4 m =  74+ 6 = 80or,m = 80 / 4  = 20⇒ m  = 20Hence, the age of Noelle =  m - 3   =   20 yearsAge of Noelle's dad  = 3 m - 6 = 3(20) - 6 = 54 years