The total age of 4 brothers and sisters is 38. Barry is two years older than Carrie. Larry is one year older than Barry.

Gary is five years older than Carrie. How old is each?

B = C+2 = L-1 = G+3

B + C + L + G = 38

Express all in terms of B and calculate B.
C = B-2
L = B+1
G = B-3

Then calculate other ages.