Question

Jenny is 9 years younger than Sammie. Five years ago, Sammie was four times older than Jenny. How old is each now?

Answer 1

Jenny's is 8 now and Sammie is 17.

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:

`x = y - 9`

Five years ago, Sammie was four times older than Jenny.

This means that:

`y - 5 = 4(x - 5)`

Since
`x = y - 9`

`y - 5 = 4(y - 9 - 5)`

`y - 5 = 4(y - 14)`

`y - 5 = 4y - 56`

`3y = 51`

`y = (51)/(3)`

`y = 17`

`x = y - 9 = 17 - 9 = 8`

Jenny's is 8 now and Sammie is 17.