Joes age is three times aarons age and aaron is six years older than christina. if the sum of their ages is 149, what are all of thier ages? show expression and what you did to solve ❤️❤️

Let c represent Christina's age.

Then (c+6) represents Aaron's age.

And 3(c+6) represents Joe's age.

The sum of their ages is then ...

... c + (c+6) +3(c+6) = 149 . . . . . the sum given in the problem statement

... 5c +24 = 149 . . . . . . . . . . . . . eliminate parentheses, collect terms

... 5c = 125 . . . . . . . . . . . . . . . . . subtract 24

... c = 25 . . . . . . . . . . . . . . . . . . . divide by 5. Christina's age

... c+6 = 31 . . . . . . . . . . . . . . . . . Aaron's age

... 3·31 = 93 . . . . . . . . . . . . . . . . Joe's age

Joe is 93, Aaron is 31, Christina is 25.