Problema Solution
Three years ago Alice was twice as old as Bob was then. Nine years from now, she will be 1.5 times as old as Bob will be. How old are Alice and Bob now?
Answer provided by our tutors
let
a = the age of Alice now
b = the age of Bob now
Three years ago Alice was twice as old as Bob was then
a - 3 = 2(b - 3)
Nine years from now, she will be 1.5 times as old as Bob will be
a + 9 = 1.5(b + 9)
by solving the system of equations
a - 3 = 2(b - 3)
a + 9 = 1.5(b + 9)
we find
a = 27 years
b = 15 years
click here to see the step by step solution of the system of equations
Alice is 27 years old now.
Bob is 15 years old now.