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Five years ago today, Artie was four times as old as his sister Carrie. In five years time, Artie will be twice as old as Carrie. Find their current ages using a system of linear equations.


Sagot :

Answer: 25 , 10 years

Step-by-step explanation:

Suppose the present age of Artie and Carrie is x and y

According to the question, 5 years ago

[tex]\Rightarrow x-5=4(y-5)\\\Rightarrow x-4y=-15\quad \ldots(i)\\[/tex]

In five year time

[tex]\Rightarrow x+5=2(y+5)\\\Rightarrow x-2y=5\quad \ldots(ii)[/tex]

Solving (i) and (ii) we get

[tex]x=25,y=10[/tex]

The current age of Artie and Carrie is 25 and 10 years

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