SOLUTION: a. Lily and Rosie are sisters. The sum of their ages is 19 and the positive difference of their age is 9. Set up a system of equations involving Lily's age, L, and Rosie's age, R

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: a. Lily and Rosie are sisters. The sum of their ages is 19 and the positive difference of their age is 9. Set up a system of equations involving Lily's age, L, and Rosie's age, R      Log On


   

Question 948323: a. Lily and Rosie are sisters. The sum of their ages is 19 and the positive difference of their age is 9. Set up a system of equations involving Lily's age, L, and Rosie's age, R, assuming Lily is the older child.
b. Solve the system to find their ages.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
L%2BR=19
L-R=9
Add the two equations together,
L%2BR%2BL-R=19%2B9
2L=28
L=14
So then,
14%2BR=19
R=5