Question 1007947
Let Mrs. Black's age be x
Let the daughter's age be y

x + y = 56
x + 8 = 2(y + 8)
x + 8 = 2y + 16
x - 2y = 8

Equations:
x + y = 56
x - 2y = 8
Subtract to eliminate x:
3y = 48
y = 16

Substitute y into one of the original equations to get x:
x + y = 56
x + 16 = 56
x = 40

Final Answer:
Mrs. Black's age = 40
Daughter's age = 16