# Triplets Puzzle - Solution

### The Puzzle:

Three sisters are identical triplets. The oldest by minutes is Sarah, and Sarah always tells anyone the truth. The next oldest is Sue, and Sue always will tell anyone a lie. Sally is the youngest of the three. She sometimes lies and sometimes tells the truth.

Victor, an old friend of the family's, came over one day and as usual he didn't know who was who, so he asked each of them one question.

Victor asked the sister that was sitting on the left, "Which sister is in the middle of you three?" and the answer he received was, "Oh, that's Sarah."

Victor then asked the sister in the middle, "What is your name?" The response given was, "I'm Sally."

Victor turned to the sister on the right, then asked, "Who is that in the middle?" The sister then replied, "She is Sue."

This confused Victor; he had asked the same question three times and received three different answers.

Who was who?

Victor, an old friend of the family's, came over one day and as usual he didn't know who was who, so he asked each of them one question.

Victor asked the sister that was sitting on the left, "Which sister is in the middle of you three?" and the answer he received was, "Oh, that's Sarah."

Victor then asked the sister in the middle, "What is your name?" The response given was, "I'm Sally."

Victor turned to the sister on the right, then asked, "Who is that in the middle?" The sister then replied, "She is Sue."

This confused Victor; he had asked the same question three times and received three different answers.

Who was who?

### Our Solution:

The first one cannot be Sarah, because that would make the first one a liar. The second one cannot be Sarah for the same reason. So, the third sister must be Sarah. This means the middle one is Sue and the only one left is Sally.

*See this puzzle without solution*

*Discuss this puzzle at the Math is Fun Forum*