Problema Solution
In 2005, Cora was three times as old as her son Jason. Four years back then, she was four times as old as Jason. In what year was Jason born?
Answer provided by our tutors
let
x = the age of Cora in 2005
y = the age of Jason in 2005
In 2005, Cora was three times as old as her son Jason:
x = 3y
Four years back then, she was four times as old as Jason:
x - 4 = 4(y - 4)
by solving the system of equations:
x = 3y
x - 4 = 4(y - 4)
we find:
x = 36 years
y = 12 years
click here to see the step by step solution of the system of equations:
in the year of 2005 Jason was 12 years old thus her was born in the year of 2005 - 12 = 1993.