SOLUTION: The sum of Ellen and Marie’s ages is 13. The difference is 9. Given that Ellen is older than Marie, write a system of equations and solve to determine the age of each girl.

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: The sum of Ellen and Marie’s ages is 13. The difference is 9. Given that Ellen is older than Marie, write a system of equations and solve to determine the age of each girl.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1103001: The sum of Ellen and Marie’s ages is 13. The difference is 9. Given that Ellen is older than Marie, write a system of equations and solve to determine the age of each girl.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
E%2BM=13
E-M=9
Add the equations together,
E%2BM%2BE-M=13%2B9
2E=22
Solve for E then use either equation to solve for M.