document.write( "Question 1037474: Question:\r
\n" ); document.write( "\n" ); document.write( "Michelle's age is three years less than five time her daughter's age. In 11 years Michelle's age will be 7 years more than twice her daughter's age will be then.
\n" ); document.write( " How old Michelle was 8 years ago?
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Algebra.Com's Answer #652108 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = Michelle's age now
\n" ); document.write( "Let \"+b+\" = her daughter's age now
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\n" ); document.write( "(1) \"+a+=+5b+-+3+\"
\n" ); document.write( "(2) \"+a+%2B+11+=+2%2A%28+b+%2B+11+%29+%2B+7+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+5b+-+3+%2B+11+=+2%2A%28+b+%2B+11+%29+%2B+7+\"
\n" ); document.write( "(2) \"+5b+-+3+%2B+11+=+2b+%2B+22+%2B+7+\"
\n" ); document.write( "(2) \"+5b+%2B+8+=+2b+%2B+29+\"
\n" ); document.write( "(2) \"+3b+=+21+\"
\n" ); document.write( "(2) \"+b+=+7+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+=+5b+-+3+\"
\n" ); document.write( "(1) \"+a+=+5%2A7+-+3+\"
\n" ); document.write( "(1) \"+a+=+35+-+3+\"
\n" ); document.write( "(1) \"+a+=+32+\"
\n" ); document.write( "-----------------
\n" ); document.write( "How old Michelle was 8 years ago?
\n" ); document.write( "\"+a+-+8+=+32+-+8+\"
\n" ); document.write( "\"+a+-+8+=+24+\"
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\n" ); document.write( "Michelle was 24 yrs old 8 yrs ago
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+a+%2B+11+=+2%2A%28+b+%2B+11+%29+%2B+7+\"
\n" ); document.write( "(2) \"+32+%2B+11+=+2%2A%28+7+%2B+11+%29+%2B+7+\"
\n" ); document.write( "(2) \"+43+=+2%2A18+%2B+7+\"
\n" ); document.write( "(2) \"+43+=+36+%2B+7+\"
\n" ); document.write( "(2) \"+43+=+43+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+=+5b+-+3+\"
\n" ); document.write( "(1) \"+32+=+5%2A7+-+3+\"
\n" ); document.write( "(1) \"+32+=+35+-+3+\"
\n" ); document.write( "(1) \"+32+=+32+\"
\n" ); document.write( "OK
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