SOLUTION: Got another one. I swear A+ hates me. Mike is three times as old as his little sister, Mary. In 4 years, he will be twice as old as Mary. How old is Mary? I know the equation

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Got another one. I swear A+ hates me. Mike is three times as old as his little sister, Mary. In 4 years, he will be twice as old as Mary. How old is Mary? I know the equation      Log On

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Question 124762: Got another one. I swear A+ hates me.
Mike is three times as old as his little sister, Mary. In 4 years, he will be twice as old as Mary. How old is Mary?
I know the equation is:
M = Mike's age m = Mary's age
3m = M
and
M+4 = (m+4)2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Mike is three times as old as his little sister, Mary. In 4 years, he will be twice as old as Mary. How old is Mary?
----------------------------
NOW DATA:
Let Mike's age be "3x" yrs.
Mary's age is "x" yrs.
----------------------------------
4 years from NOW DATA:
Mike's age will be "3x+4" yrs.
Mary's age will be "x+4" yrs.
--------------------
EQUATION based on 4 yrs from NOW:
Mike = 2(Mary)
3x+4 = 2(x+4)
x = 4 yrs. (Mary's age NOW)
--------------
3x = 12 yrs. (Mike's age NOW)
=================================
Cheers,
Stan H.