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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.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 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
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