Propositiones ad Acuendos Juvenes/Problems/44 - De Salutatione Pueri ad Patrem

by : Problem $44$

 * De Salutatione Pueri ad Patrem: A Son's Greeting to his Father
 * A son greeted his father: "Hello Father;"
 * to which the father replied: "Hello Son.
 * May you live long, as much as you have lived.
 * If you triple that number and add one of my years,
 * you will have lived $100$ years."


 * How old was the boy at the time?

Solution

 * $16$ years and $6$ months.

Proof
Let $x$ years be the age of the boy at the time.

Then we have:

That is, $16$ years and $6$ months.