Answer:

Hannah is 27 yrs old, while her daughter is 3 yrs old.

Step-by-step explanation:

Identify

• present age of Hannah an her daughter

let,

(age now)

• daughter = x
• hannah = 9x

(in 3yrs)

• daughter = x + 3
• hannah = 9x + 3

Setup Equation:

"in 3years she will only be 5 times as old as her daughter"

9x + 3 = 5(x + 3)

Solution:

• Solve for x

9x + 3 = 5(x + 3)

9x + 3 = 5x + 15

9x - 5x = 15 - 3

4x = 12

4x/4 = 12/4

x = 3 <--- daughter's age

• Substitute 3 of x in Hannah present age equation.

hannah = 9x

= 9(3)

hannah = 27

Check:

9x + 3 = 5(x + 3)

9(3) + 3 = 5(3 + 3)

27 + 3 = 5(6)

30 = 30 ✔

Answer:

Hannah is 27 yrs old, while her daughter is 3 yrs old.