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Answer:

Youngest sister is 16 years old. The second sister’s age is 17 and the oldest is 18 years old.

Explanation:

Youngest sister’s age → x

Second sister’s age → x + 1

Oldest sister’s age → x + 2

→ According to the information given:

• the ages of the three sisters are consecutive.
• the sum of their ages is 35 more than the youngest one’s age.

⇒ x + x + 1 + x + 2 = x + 35

                  3x + 3 = x + 35

                   3x – x = 35 – 3

                        2x = 32

                          x = 32 ÷ 2

                          x = 16                         ∴ The youngest sister’s age is 16