<PRE><B>Question 1151306</B>
.


&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;You can easily solve the problem using systems of two equations.



&lt;pre&gt;
Let A be Ana&#39;s age and J be the Jamie&#39;s age.


Then from the condition, you have this system of equations


    A - 5 = 2*(J-5)     (1)

    A - 10 = J + 15.    (2)


To solve it,  express  A = 2J - 10 + 5 = 2J - 5  from the first equation and then substitute it into the second equation.

You will get


    (2J - 10) - 5 = J + 15,

    2J - 15 = J + 15

    2J - J = 15 + 15

     J     = 30.


&lt;U&gt;ANSWER&lt;/U&gt;.  Jamie is 30 years old;  Ana is  A = 2J-5 = 2*30-5 = 55 years old.
&lt;/pre&gt;

Solved.


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There is a bunch of lessons on age word problems 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/word/age/Age-problems-and-their-solutions.lesson&gt;Age problems and their solutions&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/word/age/Fresh-formulation-of-a-traditional-age-problem.lesson&gt;A fresh formulation of a traditional age problem&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/word/age/Really-intricate-age-word-problem.lesson&gt;Really intricate age word problems&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/word/age/Selected-age-word-problems-from-the-archive.lesson&gt;Selected age word problems from the archive&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/word/age/Age-problems-for-mental-solution.lesson&gt;Age problems for mental solution&lt;/A&gt; 

in this site.


Read them and become an expert in solving age problems.


Also, &amp;nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson&gt;ALGEBRA-I - YOUR ONLINE TEXTBOOK&lt;/A&gt;.


The referred lessons are the part of this online textbook under the topic &quot;&lt;U&gt;Age word problems&lt;/U&gt;&quot;.



Save the link to this online textbook together with its description


Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson


to your archive and use it when it is needed.


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