let

s = the age of Sophia now

l = the age of Lila now

Sophia is 8 years older than Lila:

s = 8 + l

20 years ago Sophia was three times as old as Lila:

s - 20 = 3(l - 20)

by solving the system of equations:

s = 8 + l

s - 20 = 3(l - 20)

we find:

s = 32 years

l = 24 years

click here to see the step by step solution of the system of equations:

Sophia is 32 years old now.

Lila is 24 years old now.