Question 1053675
.
Miguel is 44 years older than Kendra. In 14 years he will be 2 times her age. How old is each now?
~~~~~~~~~~~~~~~~~~~~~~


<pre>
M = K + 44,         (1)   ("Miguel is 44 years older than Kendra")
M + 14 = 2(K+14).   (2)   ("In 14 years he will be 2 times her age.)

Substitute (1) into (2). You will get

(K+44) + 14 = 2(K+14).

Simplify and solve:

K + 58 = 2K + 28  --->  K = 30.

<U>Answer</U>.  Kendra is 30 years old. Miguel is 74.
</pre>

There is a bunch of lessons on age word problems 

&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.


Read them and become an expert in solving age problems.


Also, you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


It contains a lot of other word problems and many other interesting and useful things.