Question 1090981: 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?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52903)   (Show Source):
You can put this solution on YOUR website! .
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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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.
Answer. Lauren present age is 29 years.
Solved. //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
- 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
- Age problems for mental solution
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
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Age word problems".
Answer by MathTherapy(10557)  (Show Source):
You can put this solution on YOUR website! 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?
If what's meant is: "Lauren is 3 less than twice Andrew's age. 4 years from now, Sam will be 2 more than twice Andrew's age, then. 5 years ago, Sam was three times Andrew's age, then,"
then Lauren is now 29 years-old, and 5 years ago, was: 
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