document.write( "Question 890222: what is the answer to this word problem? Lisa noticed that in 7 years she'll be half her mother's age. If 3 years ago Lisa wa s 1/3 her mother's age, how old is her mother now? \n" ); document.write( "
Algebra.Com's Answer #538795 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
let L = Lisa's present age
\n" ); document.write( "let M = mother's present age
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\" Lisa noticed that in 7 years she'll be half her mother's age.\"
\n" ); document.write( "L + 7 = \"1%2F2\"(M+7)
\n" ); document.write( "multiply both sides by 2
\n" ); document.write( "2(L+7) = M + 7
\n" ); document.write( "2L + 14 = M + 7
\n" ); document.write( "2L + 14 - 7 = M
\n" ); document.write( "M = (2L+7)
\n" ); document.write( ":
\n" ); document.write( "\" If 3 years ago Lisa wa s 1/3 her mother's age,\"
\n" ); document.write( "L - 3 = \"1%2F3\"(M-3)
\n" ); document.write( "multiply for sides by 3
\n" ); document.write( "3(L-3) = M - 3
\n" ); document.write( "3L - 9 = M - 3
\n" ); document.write( "3L = M - 3 + 9
\n" ); document.write( "3L = M + 6
\n" ); document.write( "Replace M with (2L+7) from the 1st statement
\n" ); document.write( "3L = 2L+7 + 6
\n" ); document.write( "3L = 2L + 13
\n" ); document.write( "3L - 2L = 13
\n" ); document.write( "L = 13 yrs is Lisa's age
\n" ); document.write( ";
\n" ); document.write( " how old is her mother now?
\n" ); document.write( "M = 2L + 7
\n" ); document.write( "M = 2(13) + 7
\n" ); document.write( "M = 33 yr's Mom's age
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "You can confirm these solutions by using these values in both statements \n" ); document.write( "
\n" );