document.write( "Question 74900: the greater of two numbers is 2 more than the lesser. the sum of 25 times the greater number and 50 tumes the lesser is 500. what are the number? \n" ); document.write( "
Algebra.Com's Answer #53837 by ptaylor(2198)\"\" \"About 
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Let x=the lesser number
\n" ); document.write( "Then x+2=the greater number
\n" ); document.write( "25 times the greater number is 25(x+2)
\n" ); document.write( "50 times the lesser number is 50x\r
\n" ); document.write( "\n" ); document.write( "Now we are told that:\r
\n" ); document.write( "\n" ); document.write( "25(x+2)+50x=500 get rid of parens\r
\n" ); document.write( "\n" ); document.write( "25x+50+50x=500 subtract 50 from both sides
\n" ); document.write( "25x+50-50+50x=500-50 collect like terms\r
\n" ); document.write( "\n" ); document.write( "75x=450 divide both sides by 75\r
\n" ); document.write( "\n" ); document.write( "x=6--------------------------------the lesser number\r
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\n" ); document.write( "\n" ); document.write( "x+2=6+2=8------------------------------the greater number\r
\n" ); document.write( "\n" ); document.write( "CK\r
\n" ); document.write( "\n" ); document.write( "25(8)+50(6)=500
\n" ); document.write( "200+300=500
\n" ); document.write( "500=500\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor
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