Aryabhatta and Bhaskara meet on a flight.
“Arre, Bhatta! Long time no see! How are you and how is the family? How old are your children now? They must have grown!” Bhaskara gushed.
“Yes Bhaskara. I can say they are in their prime! All my three children are of ages that are prime numbers, and the age of the eldest is the sum of the ages of the two younger ones.”
“That tells me the age of your youngest, Bhatta, but not the other two.”
“When I add up the ages of the eldest two, it is a perfect square.”
“Sorry, Bhatta, you will need to give me another clue.” Bhaskara confessed.
“Ahem, Bhaskara, I am 50 years old.”
“Aah! I know how old they are now!” Bhaskara beamed.
So, what are the ages of the children of Aryabhatta?