SOLUTION: Julie is 2 years older than her sister Rebecca. If the product of their ages is one less than 5 times the sum of their ages, how old are Julie and Rebecca?

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Question 1156039: Julie is 2 years older than her sister Rebecca. If the product of their ages is one less than 5 times
the sum of their ages, how old are Julie and Rebecca?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28j-r=2%2Cjr=-1%2B5%28j%2Br%29%29
-
j=r%2B2
--

r%28r%2B2%29=-1%2B5%28r%2B2%2Br%29
r%5E2%2B2r=5%282r%2B2%29-1
r%5E2%2B2r=10r%2B10-1
r%5E2-8r-9=0
%28r%2B1%29%28r-9%29=0

highlight%28r=9%29-----------Rebecca

highlight%2811%29---------Julie