SOLUTION: A mother is 23 years older than her son. In 7 years she will be twice as old as her son. How old is the mother and son?

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: A mother is 23 years older than her son. In 7 years she will be twice as old as her son. How old is the mother and son?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 992913: A mother is 23 years older than her son. In 7 years she will be twice as old as her son. How old is the mother and son?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A mother is 23 years older than her son. In 7 years she will be twice as old as her son. How old is the mother and son?
----------
Equations;
m = s + 23
m+7 = 2(s+7)
-------
Substitute for "m" and solve for "s"::
s+30 = 2s + 14
---------
s = 16 yrs (son's age now)
----------
Solve for "m"::
m = 16+23 = 39 yrs (mother's age now)
-----------
Cheers,
Stan H.
-------------