To solve this puzzle, we need to analyze the statements given by each sister and determine their identities based on their responses.
Let's go through each option and analyze the responses:
Option A) First = Sarah, Middle = Sally, Third = Sue
According to this option, Sarah is the oldest and always tells the truth. However, the sister in the middle, Sally, sometimes lies and sometimes tells the truth. Therefore, this option is incorrect.
Option B) First = Sue, Middle = Sally, Third = Sarah
According to this option, Sue is the oldest and always tells a lie. However, the sister in the middle, Sally, sometimes tells the truth. Therefore, this option is incorrect.
Option C) First = Sally, Middle = Sue, Third = Sarah
According to this option, Sally is the oldest and sometimes tells the truth. Sue is the sister in the middle and always tells a lie. Sarah is the youngest and always tells the truth. This option matches the given statements, so it could be a possible solution.
Option D) First = Sarah, Middle = Sue, Third = Sally
According to this option, Sarah is the oldest and always tells the truth. Sue is the sister in the middle and always tells a lie. However, the sister in the middle, Sally, sometimes tells the truth. Therefore, this option is incorrect.
Based on the analysis, the correct answer is option C) First = Sally, Middle = Sue, Third = Sarah.