Question 102517
Brad is the youngest, so let his age be x. That means Cheryl is 2x+13 years old.

In 11 years Brad will be x + 11 years old. Cheryl will be 2x+13+11=2x+24 years old. We also know their ages will sum to 92 at that time, so:

x+11+2x+24=92
Simplifying we have:
3x+35=92
Subtracting 35 from both sides:
3x=57
Dividing by 3:
x=19

So, Brad is 19 and Cheryl is 2(19)+13=38+13=51.  

In 11 years, Brad will be 30 and Cheryl will be 62.

Checking, we findthat 30+62=92, which is the required check.