SOLUTION: One car is seven times as old as the other. It will be 4 times as old 5 years from now. Find the present age of the car.

Question 1102254: One car is seven times as old as the other. It will be 4 times as old 5 years from now. Find the present age of the car.
Answer by ikleyn(52817) (Show Source): You can put this solution on YOUR website!
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"One car is seven times as old as the other."  =====>  A = 7B            (1)

"It will be 4 times as old 5 years from now."  =====>  A+5 = 4*(B+5)     (2)


Substitute (1) into eq(2). You will get

7B +5 = 4*(B+5)  ====>  7B + 5 = 4B + 20  ====>  7B - 4B = 20-5  ====>  3B = 15  ====>  B =  = 5.


Answer.  Second car (car B) is 5 years old.

         First car (car A) is 7*5 = 35 years old.

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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".

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.

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