Question 1096882
.
<U>Solution 1</U>


<pre>
Directly from the condition, you have this system of 2 equations in 2 unknowns:


T - A = 6             (1)    ("Teresa is 6 years older than Ann.")
(T+4) + (A+4) = 66    (2)    ("In 4 years")


Simplify:

T - A =  6,           (1')
T + A = 58.           (2')


Add the equations 1') and (2')  (both sides).   You will get

2T = 6+58 = 64  ====>  T = {{{64/2}}} = 32.


<U>Answer</U>.  Teresa is 32 years old.
</pre>

<U>Solution 2</U>


<pre>
A = T - 6,

(T+4) + (A+4) = 66.


Replace A in the last equation by (T-6) based on the previous equation. You will get

(T+4) + ((T-6)+4) = 66.


You have a single equation for unknown T. Simplify and solve for T.


T + 4 + T - 6 + 4 = 66  ====>

2T + 2 = 66  ====>  2T = 66-2 = 64  ====>  T = {{{64/2}}} = 32.


You got the same answer.
</pre>

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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 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>".



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.