Mrs wang is 23 years older than her daughter. I’m 5 years, their age will total 63. How old is each now?

Mrs. Wang is 38 years old and her daughter is 15 years old.

Step-by-step explanation:

Explanation:

Let

x

=

the daughter's age

Mrs. Wang is

23

years older, so her age is

x

+

23

In five years, the daughter will be

x

+

5

years old

In five years, Mrs. Wang will be

x

+

23

+

5

=

x

+

28

years old

And, in five years the sum of their ages will be 63, so...

x

+

5

+

x

+

28

=

63

Combine like terms

2

x

+

33

=

63

a

a

−

33

a

−

33

a

a

a

Subtract 33 from both sides

2

x

a

a

a

a

a

=

30

2

x

2

=

30

2

a

a

a

Divide both sides by 2

x

=

15

a

a

a

The daughter is 15

x

+

23

=

15

+

23

=

38

a

a

a

Mrs. Wang is 38