2460.28 – Present and Future Ages II
Sosthenes is three times as old as Benoni. Five years from now, the sum of their ages will be thirty-four years. What are their present ages?
In five years, Sosthenes and Benoni will have each gained five years for a total of thirty-four years between them. This means that the sum of their ages today is twenty-four years:
In addition, Sosthenes is three times as old as Benoni, . Therefore we can write:
As Benoni’s current age is six years, Sosthenes’s current age is eighteen years.