SOLUTION: Solving systems of linear equations Alesha is 24 years older than Zack. In 13 years Alesha will be double Zack age. How old are Alesha and Zack?

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Question 1064711: Solving systems of linear equations
Alesha is 24 years older than Zack. In 13 years Alesha will be double Zack age. How old are Alesha and Zack?
Answer by ikleyn(52797) About Me  (Show Source):
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Solving systems of linear equations
Alesha is 24 years older than Zack. In 13 years Alesha will be double Zack age. How old are Alesha and Zack?
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A = Z + 24          (1)     ("Alesha is 24 years older than Zack.")
A + 13 = 2(Z+13)    (2)     ("In 13 years Alesha will be double Zack age")

You just have A expressed via Z in (1): A = Z + 24.
Substitute it into (2) replacing A. You will get

(Z + 24) + 13 = 2Z + 26.

Solve for Z.


Answer.  Z = 11,  A = 35.

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
    - OVERVIEW of lessons on age problems
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".