document.write( "Question 1096774: Olan is 3 years older than Mary. One third of Olan's age is two years less then one-half his sister's age, one year ago. Find their ages now.
\n" ); document.write( "Please help me answer this. Thank you so much!
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Algebra.Com's Answer #711182 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
You have to read it pretty carefully.
\n" ); document.write( "I'm assuming that Mary is Olan's sister.
\n" ); document.write( "Let \"+a+\" = Olan's age now
\n" ); document.write( "Let \"+b+\" = Mary's age now
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) \"+a+=+b+%2B+3+\"
\n" ); document.write( "(2) \"+%281%2F3%29%2Aa+=+%281%2F2%29%2A%28+b+-+1+%29+-+2+\"
\n" ); document.write( "----------------------------------
\n" ); document.write( "Note that \"+b+-+1+\" is Mary's age 1 year ago
\n" ); document.write( "(2) \"+%281%2F3%29%2Aa+=+%281%2F2%29%2Ab+-+1%2F2+-+4%2F2+\"
\n" ); document.write( "(2) \"+%281%2F3%29%2Aa+=+%281%2F2%29%2Ab+-+5%2F2+\"
\n" ); document.write( "Multiply both sides by \"+6+\"
\n" ); document.write( "(2) \"+2a+=+3b+-+15+\"
\n" ); document.write( "(2) \"+-2a+%2B+3b+=+15+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) \"+a+-+b+=+3+\"
\n" ); document.write( "Multiply both sides of (1) by \"+2+\"
\n" ); document.write( "and add the equations
\n" ); document.write( "(1) \"+2a+-+2b+=+6+\"
\n" ); document.write( "(2) \"+-2a+%2B+3b+=+15+\"
\n" ); document.write( "------------------------
\n" ); document.write( "\"+b+=+21+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+=+b+%2B+3+\"
\n" ); document.write( "(1) \"+a+=+21+%2B+3+\"
\n" ); document.write( "(1) \"+a+=+24+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "Olan is 24
\n" ); document.write( "Mary is 21
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%281%2F3%29%2Aa+=+%281%2F2%29%2A%28+b+-+1+%29+-+2+\"
\n" ); document.write( "(2) \"+%281%2F3%29%2A24+=+%281%2F2%29%2A%28+21+-+1+%29+-+2+\"
\n" ); document.write( "(2) \"+8+=+%281%2F2%29%2A20+-+2+\"
\n" ); document.write( "(2) \"+8+=+10+-+2+\"
\n" ); document.write( "(2) \"+8+=+8+\"
\n" ); document.write( "OK
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