SOLUTION: Tiffany claims she is older than Nicole by only 2 years. Nicole claims she is half of Jennifer's age. Jennifer admits she is the oldest but is older than Tiffany by only 17 years

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tiffany claims she is older than Nicole by only 2 years. Nicole claims she is half of Jennifer's age. Jennifer admits she is the oldest but is older than Tiffany by only 17 years      Log On


   

Question 37152: Tiffany claims she is older than Nicole by only 2 years.
Nicole claims she is half of Jennifer's age.
Jennifer admits she is the oldest but is older than Tiffany by only 17 years.
What is each womans age?
Answer by AnlytcPhil(1810) About Me  (Show Source):
You can put this solution on YOUR website!
Tiffany claims she is older than Nicole by only 2 years.
Nicole claims she is half of Jennifer's age.
Jennifer admits she is the oldest but is older than Tiffany
by only 17 years.
What is each womans age?

>>...Tiffany...is older than Nicole by...2 years...<<

 T = N + 2


>>...Nicole...is half of Jennifer's age...<<

 N = 1/2J

>>...Jennifer...is older than Tiffany by...17 years...<<

 J = T + 17

So we have a system three equations in 3 unknowns:

T = N + 2
N = 1/2J
J = T + 17

Can you solve that system?  If not post again:

Answer = J = 38, N = 19, T = 21

Edwin McCravy
AnlytcPhil@aol.com