document.write( "Question 397790: mila is 7 years older than her sister lina. in 3 years,she will be 17 years more than one-fifth as old as lina will then be. how old are the girls now \n" ); document.write( "
Algebra.Com's Answer #281840 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let M = Mila's present age \n" ); document.write( "Let L = Lina's present age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"mila is 7 years older than her sister lina.\" \n" ); document.write( "M = L + 7 \n" ); document.write( ": \n" ); document.write( "\" in 3 years, she will be 17 years more than one-fifth as old as lina will then be.\" \n" ); document.write( "M + 3 = \n" ); document.write( ": \n" ); document.write( "Multiply both sides by 5 \n" ); document.write( "5(M+3) = L + 3 + 5(17) \n" ); document.write( "5M + 15 = L + 3 + 85 \n" ); document.write( "5M = L + 88 - 15 \n" ); document.write( "5M = L + 73 \n" ); document.write( "Replace M with (L+7) \n" ); document.write( "5(L + 7) = L + 73 \n" ); document.write( "5L + 35 = L + 73 \n" ); document.write( "5L - L = 73 - 35 \n" ); document.write( "4L = 38 \n" ); document.write( "L = \n" ); document.write( "L = 9.5 yrs is Lina's age \n" ); document.write( "then \n" ); document.write( "9.5 + 7 = 16.5 yrs is Mila's age \n" ); document.write( ": \n" ); document.write( "Usually the solution to these problems are integers, maybe there is a mistake \n" ); document.write( "in the problem. Anyway, this is the method to use. \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "We can confirm our solutions in the statement: \n" ); document.write( "\"in 3 years,she will be 17 years more than one-fifth as old as lina: \n" ); document.write( "16.5 + 3 = \n" ); document.write( "19.5 = \n" ); document.write( "19.5 = 2.5 + 17 \n" ); document.write( " \n" ); document.write( " |