Answer:
Abigail age=32 and Cynthia age=24
Step-by-step explanation:
Abigail is 8years older than Cynthia. Twenty years ago Abigail was three times as old as Cynthia
LEts A be the age of Abigail
and C be the age of Cynthia
Abigail is 8years older than Cynthia
A = C+8
Twenty years ago Abigail was three times as old as Cynthia
A-20= 3(C-20)
WE use both equation and solve for A and C
Replace A with C+8
C+8-20= 3(C-20)
C-12 = 3C - 60
Subtract 3C from both sides
-2C - 12= -60
Add 12 on both sides
-2C= -48
divide both sides by -2
C= 24
LEts find out A
A= C+8
A= 24+8 = 32