SOLUTION: Chanda is now four times old as her sister Suzane. Next year, Chanda's age will be three times Suzanne's age then. How old is each now?

Algebra ->  Functions -> SOLUTION: Chanda is now four times old as her sister Suzane. Next year, Chanda's age will be three times Suzanne's age then. How old is each now?      Log On


   

Question 167250This question is from textbook Algebra 1
: Chanda is now four times old as her sister Suzane. Next year, Chanda's age will be three times Suzanne's age then. How old is each now? This question is from textbook Algebra 1

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let C = Chanda's age now
Let S = Suzanne's age now
:
Write an equation for each statement:
:
"Chanda is now four times old as her sister Suzanne."
C = 4S
;
"Next year, Chanda's age will be three times Suzanne's age then."
C + 1 = 3(S + 1)
:
C + 1 = 3S + 3
:
C = 3S + 3 - 1
:
C = 3S + 2
:
How old is each now?
:
From the 1st equation substitute 4S for C in the above equation
4S = 3S + 2
:
4S - 3S = 2
:
S = 2 yrs is Suzanne's age now
:
You figure out C's age