SOLUTION: The sum of Sherry and her dad’s ages is 60 now . In 12 years , Sherry will be half as old as her dad. What is Sherry’s age?

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Question 1113932: The sum of Sherry and her dad’s ages is 60 now . In 12 years , Sherry will be half as old as her dad. What is Sherry’s age?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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From the condition, you have these 2 equations


S + D = 60.             (1)

S+12 = %281%2F2%29%2A%28D%2B12%29        (2)


From eq(1), express  S = 60-D  and substitute it into (2), replacing S. You will get

(60-D) + 12 = %281%2F2%29%2A%28D%2B12%29


2*(72 - D) = D + 12


144 - 2D = D + 12


144- 12 = D + 2D  ====>  132 = 3D  ====>  D = 132%2F3 = 44.


Answer.  Dad is 44 years old now.  Sheril is  60-44 = 16 years old.

Solved.

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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.