Problema Solution
Austin is 17 years younger than Shantel. 5 years ago, Shantel's age was 2 times Austin's age. How old is Austin now?
Answer provided by our tutors
let
a = the age of Austin now
s = the age of Shantel now
Austin is 17 years younger than Shantel:
a = s - 17
5 years ago, Shantel's age was 2 times Austin's age:
s - 5 = 2(a - 5)
by solving the system of equations:
a = s - 17
s - 5 = 2(a - 5)
we find:
a = 22 years
s = 39 years
click here to see the step by step solution of the system of equations:
Austin is 22 years old now.