Answer:
Jenny's is 8 now and Sammie is 17.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
Jenny's age is x.
Sammie's age is y.
Jenny is 9 years younger than Sammie.
This means that:
[tex]x = y - 9[/tex]
Five years ago, Sammie was four times older than Jenny.
This means that:
[tex]y - 5 = 4(x - 5)[/tex]
Since [tex]x = y - 9[/tex]
[tex]y - 5 = 4(y - 9 - 5)[/tex]
[tex]y - 5 = 4(y - 14)[/tex]
[tex]y - 5 = 4y - 56[/tex]
[tex]3y = 51[/tex]
[tex]y = \frac{51}{3}[/tex]
[tex]y = 17[/tex]
[tex]x = y - 9 = 17 - 9 = 8[/tex]
Jenny's is 8 now and Sammie is 17.
