Put everything you know into equations.
If Charyl is eight more than two times as old as Henry, then how would I get from Henry's age to Charyl's age? Imagine that I told you Henry age and picture what you would do.
If the sum of their ages will be 86 in 24 years, then how could you prove that you've found their correct ages? Wouldn't you need to add 24 to each of their ages and to each other to get 86?
I think your first equation would be something like 2H+8=C and your second equation would start as something like H+24+C+24=86
But wait, my first equation tells me what C equals, so what if I write an equivalent expression where I see C?
Instead of H+24+( C )+24=86
I can write H+24+(2H+8)+24=86
Now, let's combine some like terms here:
H+2H+24+8+24=86
3H+56=86
3H=30
If 3 times Henry's age is 30, then how old is Henry? Which equation makes it easier to find Charyl's age if you know Henry's?