Question 1162813
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Sandy is twice as old as Candy, and Dandy is nine years older than Candy.  
Three years ago,  Sandy was nine less than three times Candy's age.  How old {{{highlight(cross(is))}}} <U>was</U> Dandy 3 years ago?
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<pre>
Let x be the Candy's age.

Then the Sandy's age is 2x years.


Three years ago

    Sandy was  2x-3 years old,  and

    Candy was (x-3) years old.



The condition says that

    2x-3 = 3(x-3) - 9    ("Three years ago,  sandy was nine less than three times candy's age")



Simplify and solve

    2x - 3 = 3x - 18

    18 - 3 = 3x - 2x

     x     = 15.


Thus the Candy's age is 15 years now.


Dandy is nine years older than Candy, so Dandy is 15+9 = 24 years old now.


3 years ago, Dandy was 24-3 = 21 years old.    <U>ANSWER</U>
</pre>

Solved.


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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 problems</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>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/age/Age-problems-for-mental-solution.lesson>Age problems for mental solution</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/age/Miscellaneous-age-problem.lesson>Miscellaneous age problems</A> 

in this site.


Read them and become an expert in solving age problems.


Also, &nbsp;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>.


The referred lessons are the part of this online textbook under the topic "<U>Age word problems</U>".



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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