Sam is:  

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
 .

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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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.

Answer.  Beth is 3 years old, Sam is B + 5 = 3 + 5 = 8 years old.




There is a bunch of lessons with solved word age problem 



    - Age problems and their solutions



    - A fresh formulation of a traditional age problem



    - Really intricate age word problem



    - Selected age word problems from the archive



in this site.





Read them attentively and become trained in solution of these problems.





 

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