Word problem solving, If Pam is 2years older than Sam and Sana is twice as old as Pam , work out how old Pam ,Sam and Sana are if the average of their ages is 30?

Let's start by assigning variables to each person's age:

Let Sam's age be x years.
Then Pam's age is x + 2 years.
And Sana's age is 2(x + 2) = 2x + 4 years.

Since the average of their ages is 30, we can write the equation:

(x + x + 2 + 2x + 4) / 3 = 30
(4x + 6) / 3 = 30
4x + 6 = 90
4x = 84
x = 21

So, Sam is 21 years old.
Pam is 21 + 2 = 23 years old.
Sana is 2(21 + 2) = 2(23) = 46 years old.

Therefore, Sam is 21 years old, Pam is 23 years old, and Sana is 46 years old.