Why did Buddha chose to leave his privileged life in the palace.
What question was he trying to answer?
What message did he pass along to others?

First Question- Why did Buddha chose to leave his privileged life in the palace?

Answer To The First Question- At the age of 29, Siddhartha left his palace to meet his subjects. Despite his father's efforts to hide from him the sick, aged and suffering, Siddhartha was said to have seen an old man. When his charioteer Channa explained to him that all people grew old, the prince went on further trips beyond the palace.

Second Question- What question was he trying to answer?

Answer To The Second Question- What am I?  How am I?  Am I?  Am I not?  Did I exist in the past?  Did I not exist in the past?  What was I in the past?  How was I in the past?

Third Question- What message did he pass along to others?

Third And Final Answer To The Third Question- Let the Dharma and the discipline that I have taught you be your teacher. All individual things pass away. Strive on, untiringly." These were the Buddha's last words.

I hope that this helps you :) Have a wonderful day :)