Question 1022330
lilly and rosie are sisters.
 the sum of their age is 19 and the positive difference of their ages is 9.
 set up a system of equations involving lilly's age, L, and Rosies age, R, assuming that lilly is the older child. solve the system to find their ages.
:
L + R = 19
L - R = 9
-----------Adding eliminates R, find L
2L = 28
L = 28/2
L = 14 yr
:
Find R
14 + R = 19
R = 19 - 14
 R = 5 yrs
;
;
Check solutions, find the sum
14 + 5 = 19