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Answered

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

Sagot :

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.

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