Question 1187465
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Let x be the age of the younger sister.

Then the age of the older sister is  (2x+2)  ("2 more than twice the age of younger sister").



The sum of their ages is 35:


    x + (2x+2) = 35.


Simplify and find x


    3x + 2 = 35

    3x = 35 - 2 = 33

     x          = 33/3 = 11.


The younger sister is 11 years old.


The older sister is then  2*x+2 = 2*11+2 = 22+2 = 24  years old.
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Solved.