Question 271049
T = Tricia's age
L = Lilly's age
E = Emma's age
T = 3L  :: Tricia is 3 times as old as Lilly
L = 2E  :: Lilly is 2 times as old as Emma
T + L + E = 27  :: given
.
substituting
3L + 2E + E = 27
3L = 3(2E)
6E + 2E + E = 27
9E = 27
E = 3
Emma is 3 years old.
.
L = 2E = 2(3)= 6
Lilly is 6 years old.
.
T = 3L = 3(6) = 18
Tricia is 18 years old.
.
checking...is the total 27?
3+9+18 = 27
.
So the answer is correct.