Question 709318
 The sum of the ages of a mother and her daughter are 44,3 years ago the product of their age was 192. How old is d daughter now?
Let d = daughter's age
and m = mom's age
.
from:"The sum of the ages of a mother and her daughter are 44"
d+m = 44 
so,
m = 44-d
.
from:"3 years ago the product of their age was 192. How old is d daughter now?"
(d-3)(m-3) = 192
(d-3)(44-d-3) = 192
(d-3)(-d+41) = 192
-d^2+41d+3d-123 = 192
-d^2+44d-123 = 192
-d^2+44d-315 = 0
d^2-44d+315 = 0
d^2-9d-35d+315 = 0
(d^2-9d)-(35d-315) = 0
d(d-9)-35(d-9) = 0
(d-9)(d-35) = 0
d = {9,35}
The daughter is 9 years old