SOLUTION: Erica and Rachel are both 90 years old. Breena, on the other hand, is half again as old as she was when she was half again as old as she was when she lacked five years of being hal

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Erica and Rachel are both 90 years old. Breena, on the other hand, is half again as old as she was when she was half again as old as she was when she lacked five years of being hal      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 366640: Erica and Rachel are both 90 years old. Breena, on the other hand, is half again as old as she was when she was half again as old as she was when she lacked five years of being half as old as she is now. How old is Breena?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = her age now
x%2F2 = half as old as she is now
x%2F2+-+5 = lacking 5 years of being half as old as she is now
%283%2F2%29%2A%28x%2F2+-+5%29 = half again as old as she was when she lacked
five years of being half as old as she is now.
+%283%2F2%29%2A%283%2F2%29%2A%28x%2F2+-+5%29 = half again as old as she was when she was
half again as old as she was when she lacked five years
of being half as old as she is now.
She is this age now, so
x+=+%283%2F2%29%2A%283%2F2%29%2A%28x%2F2+-+5%29
x+=+%289%2F4%29%2A%28x%2F2+-+5%29
x+=+%289%2F8%29%2Ax+-+45%2F4
%289%2F8%29%2Ax+-+%288%2F8%29%2Ax+=+90%2F8
x+=+90
Breena is 90 also