SOLUTION: Kz is 8 years older than Mia, 8 years ago she was thrice as old as Mia. How old are they at present?

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Question 1180149: Kz is 8 years older than Mia, 8 years ago she was thrice as old as Mia. How old are they at present?




Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Mia, 12
Kz, 20

Kz is m+8, if Mia is m.
%28m%2B8%29-8=3%28m-8%29
m=3m-24
highlight%28m=12%29

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

            @josgarithmetic produced his next incorrect solution (which he does every day, several times per day).

            I came to bring the correct version.


Mia is  "m".
Kz  is  m+8.


    (m+8)-8 = 3(m-8)


    m = 3m - 24


    24 = 3m - m

    24 = 2m

    m  = 24/2 = 12.


ANSWER.  Mia is 12 years old.  Kz is 20 years old.

Solved (correctly).

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There is a bunch of lessons on age word problems
    - Age problems and their solutions
    - HOW TO algebreze and to solve age problems?
    - A fresh formulation of a traditional age problem
    - Really intricate age word problems
    - Selected age word problems from the archive
    - Age problems for mental solution
    - Age problem for three participants
    - Miscellaneous 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".


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.