Problema Solution
A girl is one-third as old as her brother and 8 years younger than her sister. The sum of their ages is 38 years. How old is the girl?
Answer provided by our tutors
let
g = the age of the girl
b = the age of her brother
s = the age of her sister
a girl is one-third as old as her brother and 8 years younger than her sister
g = (1/3)b
g = s - 8
the sum of their ages is 38 years
g + b + s = 38
by solving the system of equations
g = (1/3)b
g = s - 8
g + b + s = 38
we find
g = 6 years
b = 18 years
s = 14 years
the girl is 6 years old.