Propositiones ad Acuendos Juvenes/Problems/36 - De Salutatione Cuiusdam Senis ad Puerum

by : Problem $36$

 * De Salutatione Cuiusdam Senis ad Puerum: An Old Man Greeting a Boy
 * An old man greeted a boy as follows:
 * "May you live long --
 * as long as you have lived so far,
 * and as long again as your age would be then,
 * and then to three times that age,
 * and let God add one year more
 * and you will be $100$.


 * How old was the boy at the time?

Solution

 * $8$ years and $3$ months.

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

Then we have:

That is, $8$ years and $3$ months.