Question 1044717
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Katie is 2 years younger than her brother. In 12 years, her brother will be twice as old as she is now. How old is Katie now?
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<pre>
B - K = 2            (1)   ("Katie is 2 years younger than her brother")
B + 12 = 2K          (2)   ("In 12 years . . . )

To solve this system, express B = K + 2 from (1) and then substitute it into 2).
You will get a single equation for K:

(K + 2) + 12 = 2K,  or

K + 14 = 2K,  or

K = 14. 

<U>Answer</U>.  Katie is 14 years now.
</pre>

For age problems, see the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/age/Age-problems-and-their-solutions.lesson>Age problems and their solutions</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/age/Fresh-formulation-of-a-traditional-age-problem.lesson>A fresh formulation of a traditional age problem</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/age/Really-intricate-age-word-problem.lesson>Really intricate age word problem</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/age/Selected-age-word-problems-from-the-archive.lesson>Selected age word problems from the archive</A>

in this site.