SOLUTION: Darren is three years older than his sister.In three years, he will be twice as old as she will be then.How old is each now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Darren is three years older than his sister.In three years, he will be twice as old as she will be then.How old is each now?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 429574: Darren is three years older than his sister.In three years, he will be twice as old as she will be then.How old is each now?














Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Darren is three years older than his sister.In three years, he will be twice as old as she will be then.How old is each now?
--------------------------------
Let Darren be "d" now.
Let Sister be "s" now.
-----------------------------
Equations:
d = s + 3
(d+3) = 2(s+3)
----
Substitute for "d" and solve for "s":
(s+3+3) = 2(s+3)
s+6 = 2s+6
---
s = 0 (sister's age now)
---
d = s+3
d = 3 yrs old (Darren's age now)
===========================
Cheers,
Stan H.
==========