SOLUTION: Charlie is two-thirds Pat's age. Three years from now, Charlie will be as old as Pat is now. How old are Charlie and Pat now?

Question 159158: Charlie is two-thirds Pat's age. Three years from now, Charlie will be as old as Pat is now. How old are Charlie and Pat now?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Charlie is two-thirds Pat's age. Three years from now, Charlie will be as old as Pat is now. How old are Charlie and Pat now?
;
"Charlie is two-thirds Pat's age."
C = P
:
" Three years from now, Charlie will be as old as Pat is now."
(C+3) = P
:
How old are Charlie and Pat now?
:
Replace P with (C+3) in the 1st equation
C = (C+3)
Multiply both sides by 3
3C = 2(C+3)
3C = 2C + 6
3C-2C = 6
C = 6 yr is Charlie's age
then
P = 6 + 3
P = 9 yrs is Pat's age
:
:
Check solutions in the statement:
"Three years from now, Charlie will be as old as Pat is now."
6 + 3 = 9
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