SOLUTION: Carol is five times as old as her brother.He will be twice as old as his brother in two years.How old is carol now?

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Question 927701: Carol is five times as old as her brother.He will be twice as old as his brother in two years.How old is carol now?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let c = Carol's present age
let b = brother's age
:
Write an equation for each statement
:
Carol is five times as old as her brother.
c = 5b
He will be twice as old as his brother in two years.
c + 2 = 2(b+2)
c + 2 = 2b + 4
c = 2b + 4 - 2
c = 2b + 2
Replace c with 5b
5b = 2b + 2
5b - 2b = 2
3b = 2
b = 2/3 of a yr is Brother's present age
then
5 * 2/3 = 31%2F3 yrs is Carol's present age