Question 1042605
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Sam is 5 years older than Beth. In 2 years, Sam will be two times the age of Beth. How old is Sam? 
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<pre>
Let S be Sam's present age, B be Beth's present age.
Then 

S     = B + 5,    (1)   ( "Sam is 5 years older than Beth")
S + 2 = 2*(B+2).  (2)   ( "In 2 years, Sam will be two times the age of Beth")

To solve this system, substitute the expression S = B+5 of (1) into equation (2). You will get

(B+5) + 2 = 2*(B+2).

Now simplify and solve this equation for B:

B + 7 = 2B + 4,

7 - 4 = 2B - B,

3 = B.

<U>Answer</U>.  Beth is 3 years old, Sam is B + 5 = 3 + 5 = 8 years old.
</pre>

There is a bunch of lessons with solved word age problem 

&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 attentively and become trained in solution of these problems.