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Answer:

Simone is 16 and Olivia 12 years old.

Step-by-step explanation:

"Simone is four years older than her sister Olivia."

(1) Simone age = Olivia age + 4

"Their combined ages is 28."

(2) Simone age + Olivia age = 28

→ We can substitute from the first equation (1) Simone age with Olivia age + 4 into the second equation (2)

        Simone age + Olivia age = 28

      Olivia age + 4 + Olivia age = 28, subtract 4 from both sides

   Olivia age -4 +4 + Olivia age = 28 - 4

                            2· Olivia age  = 24 , divide both sides by 2

                               Olivia age = 24/2

                               Olivia age = 12 years old

From the first equation (1) we have:

Simone Age = Olivia age + 4 = 12 + 4 = 16 years old

Check our answer:

"Their combined ages is 28 "

12 + 16 = 28 ✅

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