Question 1090981
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Lauren is 3 less than twice Andrew's age. 4 years from now, Sam will be 2 more than twice Andrew's age. 
5 years ago, Sam was three times Andrew's age. How old was Lauren 5 years ago?
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<pre>
S + 4 = 2*(A+4) + 2     (1)    ("4 years from now, Sam will be 2 more than twice Andrew's age.")
S - 5 = 3*(A-5).        (2)    ("5 years ago, Sam was three times Andrew's age.")


From (1), express S = 2A + 6 and substitute it into (2). You will get

(2A+6) - 5 = 3*(A-5)  ====>

2A + 1 = 3A - 15  ====>  A = 16.


Thus Andrew's present age is 16 years.

The Lauren's present age is 2*16 - 3 = 29 years.
</pre>

<U>Answer</U>.  Lauren present age is 29 years.


Solved.   &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;//Thanks to @MathTherapy for pointing to my error in early version (which I corrected now).



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>

&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> 

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>.


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