Answer:
Abigail is 32 and Cynthia is 24.
Explanation:
Let a = Abigail's age
Let c = Cynthia's age
a = c + 8
a -20 = 3(c - 20)
Substitute c + 8 for a into the second equation.
c + 8 - 20 = 3(c - 20) combine like terms and distribute the 3
c - 12 = 3c -60 Subtract c from both sides
-12 = 2c - 60 Add 60 to both sides
48 = 2c Divide both sides by 2
24 = c
Cynthia is 24.
Substitute 24 for c in the first equation
a = c + 8
a = 24 + 8
a = 32
Abigail is 32.