document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #638085 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! lilly and rosie are sisters. \n" ); document.write( " the sum of their age is 19 and the positive difference of their ages is 9. \n" ); document.write( " 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. \n" ); document.write( ": \n" ); document.write( "L + R = 19 \n" ); document.write( "L - R = 9 \n" ); document.write( "-----------Adding eliminates R, find L \n" ); document.write( "2L = 28 \n" ); document.write( "L = 28/2 \n" ); document.write( "L = 14 yr \n" ); document.write( ": \n" ); document.write( "Find R \n" ); document.write( "14 + R = 19 \n" ); document.write( "R = 19 - 14 \n" ); document.write( " R = 5 yrs \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check solutions, find the sum \n" ); document.write( "14 + 5 = 19 \n" ); document.write( " |