Problema Solution
The sum of Arlie's age and Bert's age is 39. In seven years, Arlie will be three years older than Bert was five years ago. How old is Arlie?
Answer provided by our tutors
let
x = the age of Arlie
y = the age of Bert
the sum of Arlie's age and Bert's age is 39
x + y = 39
in seven years, Arlie will be three years older than Bert was five years ago
x + 7 = (y - 5) + 3
by solving the system of equations
x + y = 39
x + 7 = (y - 5) + 3
we find
x = 15 years
y = 24 years
Arlie is 15 years old.