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.