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?

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(52800) (Show Source): You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~~~~~~~~~~~~

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".

RELATED QUESTIONS
Danielle is 17 years old. She is 3 years older than twice Zack�s age. What is Zack�s... (answered by vheroli)

Zack is 2 years older than Jimmy. Last year Zack was 3 times as old as Jimmy. How is... (answered by MILIAJEY)

Five years from ago, Zack was three times as old Aaron. Five years from now, Zack will be (answered by lwsshak3)

mom is 28 years older than zack. mom is 4 years younger than dad. their total age is 84.... (answered by mathman123)

mrs tan is 28 years old older than zack. he's 4 years younger than mrs tan. all three... (answered by greenestamps,josgarithmetic)

karen is 5 years older than the square age of daniel's age. In 20 years time Karens age... (answered by ankor@dixie-net.com)

Anna is 24 years older than Jordan . In 4 years , Anna will be double Jordan’s age. How (answered by greenestamps)

Shawn is twice as old as Zack. Four years from now the sum of their ages will be 23.... (answered by josgarithmetic)

Kristen is 4 times Claire’s age. Emily is 6 times older than Claire and 6 years younger (answered by Alan3354,josgarithmetic)