document.write( "Question 1156680: Lee's mother's age is two times more than three times Lee's age. the sum of their ages is 54. \r
\n" ); document.write( "\n" ); document.write( "Could you please determine their ages and when Lee's age be half his mother's age.\r
\n" ); document.write( "\n" ); document.write( "Thank you!
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Algebra.Com's Answer #779430 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = Lee's age
\n" ); document.write( "Let \"+b+\" = Lee's mother's age
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\n" ); document.write( "(1) \"+b+=+3a+%2B+2+\"
\n" ); document.write( "(2) \"+a+%2B+b+=+54+\"
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\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+a+%2B+3a+%2B+2+=+54+\"
\n" ); document.write( "(2) \"+4a+=+52+\"
\n" ); document.write( "(2) \"+a+=+13+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+b+=+3a+%2B+2+\"
\n" ); document.write( "(1) \"+b+=+3%2A13+%2B+2+\"
\n" ); document.write( "(1) \"+b+=+41+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "Note that the difference in their ages
\n" ); document.write( "never changes. The difference is
\n" ); document.write( "\"+41+-+13+=+28+\"
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\n" ); document.write( "When Lee's age be half his mother's age:
\n" ); document.write( "\"+a+=+%28+1%2F2+%29%2Ab+\"
\n" ); document.write( "\"+a+=+%28+1%2F2+%29%2A%28+a+%2B+28+%29+\"
\n" ); document.write( "\"+2a+=+a+%2B+28+\"
\n" ); document.write( "\"+a+=+28+\"
\n" ); document.write( "and
\n" ); document.write( "\"+b+=+a+%2B+28+\"
\n" ); document.write( "\"+b+=+28+%2B+28+\"
\n" ); document.write( "\"+b+=+56+\"
\n" ); document.write( "----------------------
\n" ); document.write( "Lee will be 28
\n" ); document.write( "Lee's mother will be 56
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