Question

Erik's age is 8 years less than one half his fathers, and Erik is also one third the age of his father. What is the age of Erik and his father?

Answer 1

e = erik's age..... f = fathers age

Erik's age is 8 years less than one half his fathers
e = 1/2 f - 8

Erik is also one third the age of his father
e = 1/3 f

Answer 2

\[\{\text{erick}\to 16,f\to 48\} \]

Answer 3

I need to show work done

Answer 4

\[\text{erik}=\frac{f}{2}-8,\text{erik}=\frac{f}{3} \]\[\frac{f}{2}-8=\frac{f}{3} \]\[6 \left(-\frac{f}{3}+\frac{f}{2}-8\right)=0 \]\[f-48=0 \]\[f=48 \]\[\text{erik}=\frac{f}{3}=\frac{48}{3}=16 \]

Answer 5

thank you so much robtobey

Answer 6

You are welcome and thank you for the medal.