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)\"\" \"About 
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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 = \"1%2F5\"(L+3) + 17
\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 = \"38%2F4\"
\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.
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\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 = \"1%2F5\"(9.5+3) + 17
\n" ); document.write( "19.5 = \"1%2F5\"*12.5 + 17
\n" ); document.write( "19.5 = 2.5 + 17
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