SOLUTION: Shelly is 5 years older than Michele. Four years ago the sum of their ages was 65. Find the age of each person now. Shelly is ? years Michele is ? years

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Shelly is 5 years older than Michele. Four years ago the sum of their ages was 65. Find the age of each person now. Shelly is ? years Michele is ? years      Log On


   

Question 417000: Shelly is 5 years older than Michele. Four years ago the sum of their ages was 65. Find the age of each person now.
Shelly is ? years
Michele is ? years
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Shelly is 5 years older than Michele



Let x and (x+5) represent Michele's and Shelly's ages NOW respectively

Question states*** 4 yrs ago...

 (x-4) + [(x-4) +5] = 65

Solving for x

     2x = 68

      x = 34, Michele's age now.  Shelly is 39



CHECKING our Answer***

       35 + 30 = 65