document.write( "Question 1098043: I am three times as old as my brother. Five years later I shall be two and a half times as old as my brother. How old am I and how old is my brother? \n" ); document.write( "
Algebra.Com's Answer #712453 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = my age now
\n" ); document.write( "Let \"+b+\" = my brother's age now
\n" ); document.write( "------------------------------------
\n" ); document.write( "(1) \"+a+=+3b+\"
\n" ); document.write( "(2) \"+a+%2B+5+=+%285%2F2%29%2A%28+b+%2B+5+%29+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "Multiply both sides of (2) by \"+2+\"
\n" ); document.write( "(2) \"+2a+%2B+10+=+5b+%2B+25+\"
\n" ); document.write( "(2) \"+2a+-+5b+=+15+\"
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+2%2A%28+3b+%29+-+5b+=+15+\"
\n" ); document.write( "(2) \"+6b+-+5b+=+15+\"
\n" ); document.write( "(2) \"+b+=+15+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+=+3b+\"
\n" ); document.write( "(1) \"+a+=+3%2A15+\"
\n" ); document.write( "(1) \"+a+=+45+\"
\n" ); document.write( "--------------------
\n" ); document.write( "I an 45 and my brother is 15
\n" ); document.write( "------------------------------
\n" ); document.write( "check:
\n" ); document.write( "I am 3 times as old as my brother TRUE
\n" ); document.write( "(2) \"+a+%2B+5+=+%285%2F2%29%2A%28+b+%2B+5+%29+\"
\n" ); document.write( "(2) \"+45+%2B+5+=+%285%2F2%29%2A%28+15+%2B+5+%29+\"
\n" ); document.write( "(2) \"+50+=+%285%2F2%29%2A20+\"
\n" ); document.write( "(2) \"+50%2F20+=+5%2F2+\"
\n" ); document.write( "(2) \"+5%2F2+=+5%2F2+\"
\n" ); document.write( "OK\r
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