SOLUTION: Betty is three times as old as her son now. In 12 years, Betty's age will be three years less than twice her son's age. How old is Betty’s son now?

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Question 1163293: Betty is three times as old as her son now. In 12 years, Betty's age will be three years less than twice her son's age. How old is Betty’s son now?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the son's age now.


Then Betty's age is 3x years, according to the condition.


In 12 years


    3x + 12 = 2*(x+12) - 3


Simplify and solve


    3x + 12 = 2x + 24 - 3

    3x - 2x = 24 - 3 - 12

     x      = 9.


ANSWER.  The son is 9 years old now.

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 problems
    - Selected age word problems from the archive
    - Age problems for mental solution
    - Miscellaneous age problems
in this site.

Read them and become an expert in solving age problems.

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The referred lessons are the part of this online textbook under the topic "Age word problems".


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