Answer:
16 years old
Step-by-step explanation:
Let's use the letters s, b, and c for Sushil, Brian, and Caroline's ages. Sushil is the oldest, followed by Brian, and then Caroline, the youngest. From the problem description, we can set up three equations:
s = b + 6 <em>(Sushil is 6 years older than Brian)</em>
c = b - 5 <em>(Caroline is 5 years younger than Brian)</em>
s + b + c = 64 <em>(The total of their ages is 64)</em>
Since s and c are already in terms of b, we can substitute them into the last equation and solve to find Brian's age:
(b + 6) + b + (b - 5) = 64
3b + 1 = 64
3b = 63
b = 21
Now that we know Brian's age, we can simply subtract 5 to find Caroline's:
c = b - 5 = 21 - 5 = 16 years old.
