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) About Me  (Show Source):
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Mother is thrice as old as her son, ten years from now mother highlight%28cross%28is%29%29 will be twice as old as her son.
How old are they?
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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.