SOLUTION: The sum of the ages of a mother and her daughter is 32. In 4 years, the difference of their ages will be 24. How old is each now?

Let the mother's age be x

Let the daughter's age be y

x+y=32

y=32-x (subsitution)

Maxmium value = 32:

In four years their ages:

y+4 and x+4

Formal equation:

(x+4)-(y+4)=24

x-y=24

Apply subsitution:

x-(32-x)=24

2x-32=24

2x=56

x=28

y=32-28

y=4

Hence, the mother's age is 28 and the daugther's age is 4.

Paul.