Kelly is 3 years younger than her sister. the sum of their ages is 34 years. how old is kelly and how old is her sister? an equation and show steps! ( hint: the sister is the " x")

Kelly's sister is x years old.
Kelly is 3 years younger than her sister, so Kelly is x - 3 years old.
The sum of their ages is x + x - 3 = 2x - 3.
The sum of their ages is 34, so

2x - 3 = 34

2x = 37

x = 18.5 Kelly's sister's age.

x - 3 = 18.5 - 3 = 15.5 Kelly's age.

Kelly's sister is 18.5 years old.
Kelly is 15.5 years old.

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