SOLUTION: Mother is thrice as old as her son, ten years from now mother is twice as old as her son how old are they?

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Question 1052105: Mother is thrice as old as her son, ten years from now mother is twice as old as her son how old are they?
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
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Mother is thrice as old as her son, ten years from now mother will be twice as old as her son.
How old are they?
~~~~~~~~~~~~~~~~~~~~~~~~~~ 

M      = 3S,         (1)
M + 10 = 2*(S+10).   (2)

Substitute (1) into (2). You will get

3S + 10 = 2*(S+10)  --->  3S + 10 = 2S + 20  --->  S = 10.

Answer. The son is 10 years now.  The mother's present age is 30 years.

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 problem for the day of April, 1
    - 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.

It contains a lot of other word problems and many other interesting and useful things.


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