SOLUTION: If rose was four time younger than alice last year. And will be half the age of George in two years time. How old is now alice? If George will be 21 next year. ...I DON'T JUST

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: If rose was four time younger than alice last year. And will be half the age of George in two years time. How old is now alice? If George will be 21 next year. ...I DON'T JUST       Log On

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Question 1051471: If rose was four time younger than alice last year.
And will be half the age of George in two years time.
How old is now alice? If George will be 21 next year.
...I DON'T JUST THE ANSWER I WANT THE FORMA ,,HOW TO PRESENT TI TO RESOLVE ANY QUESTION OF THIS KIND
SPANISH: ( ECUACION DE SEGUNDO GRADO POR SUSTITUCION)

Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If rose was four time younger than alice last year.
And will be half the age of George in two years time.
How old is now alice? If George will be 21 next year.
----
Let Alice be "A" yrs old now.
Let Rose be "R" yrs old now.
---------
Equations:
R-1 = (A-1)/4
R+2 = (1/2)(G+2)
G+1 = 21
----------------------
G = 20
Solve for "R"::
So, R+2 = (1/2)(22) = 11 yrs
R = 9 yrs (Rose's age now)
-----------------------
Solve for A::
9-1 = (A-1)/4
A-1 = 8*4
A = 33 yrs (Alice's age now)
--------------------
Cheers,
Stan H.
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Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
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
    - 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.