SOLUTION: Marivic is five years older than Michelle. In three years, the product of her age and Michelle’s age five years ago will be 90 years old. Find their present ages.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Marivic is five years older than Michelle. In three years, the product of her age and Michelle’s age five years ago will be 90 years old. Find their present ages.      Log On


   

Question 1170600: Marivic is five years older than Michelle. In three years, the product of her age and Michelle’s age
five
years ago will be 90 years old. Find their present ages.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
r, Marivic
c, Michelle

system%28r=c%2B5%2C%28r%2B3%29%28c-5%29=90%29

%28%28c%2B5%29%2B3%29%28c-5%29=90
%28c%2B8%29%28c-5%29=90-----------two factors differ by 13?
90=3%2A30=highlight_green%285%2A18%29

system%28c-5=5%2Cc%2B8=18%29
highlight%28c=10%29-----------Michelle's age now.
-
Marivic is highlight%2815%29.