1. Once upon a time in a faraway kingdom three sisters were born. Ann was the oldest; Cam was the middle sister and Sue was the smallest. They were identical triplets, somewhat undistinguishable and mysterious. Ann always told the truth. Cam always lied. Finally, Sue sometimes lied and sometimes told the truth (the only “normal sister” indeed!). A very nice fairy decided to “fix” these sisters! The fairy had very special powers. To perform her magic on a human, she had to know this human’s name! So she came over with a strong intention to help! Sisters sat in a row in front of the fairy, but she could not figure out who was who. She was not an ordinary fairy, she was a VERY CLEVER fairy. She asked the first girl: “What is the name of the girl in the middle?” and got the answer: “It is Ann.” Then the fairy asked the second girl: “What is your name?”. “I am Sue” said the girl. Finally, the fairy asked the third sister: “What is the name of the girl in the middle?” and the response was “Cam.” Help the fairy to find out the real names of the sisters.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Once upon a time in a faraway kingdom three sisters were born. Ann was the oldest; Cam
was the middle sister and Sue was the smallest. They were identical triplets, somewhat
undistinguishable and mysterious. Ann always told the truth. Cam always lied. Finally,
Sue sometimes lied and sometimes told the truth (the only “normal sister” indeed!).
A very nice fairy decided to “fix” these sisters! The fairy had very special powers. To
perform her magic on a human, she had to know this human’s name! So she came over
with a strong intention to help! Sisters sat in a row in front of the fairy, but she could
not figure out who was who. She was not an ordinary fairy, she was a VERY CLEVER
fairy.
She asked the first girl: “What is the name of the girl in the middle?” and got the answer:
“It is Ann.”
Then the fairy asked the second girl: “What is your name?”. “I am Sue” said the girl.
Finally, the fairy asked the third sister: “What is the name of the girl in the middle?”
and the response was “Cam.”
Help the fairy to find out the real names of the sisters.

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