document.write( "Question 114839:
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document.write( "Find the largest two consecutive even integers such that 100 decreased by three times the first one is greater than twice the second one. \n" );
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Algebra.Com's Answer #83543 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! LET X & (X+2) BE THE 2 INTEGERS. \n" ); document.write( "100-3*X>2(X+2) \n" ); document.write( "100-3X>2X+4 \n" ); document.write( "-3X-2X>4-100 \n" ); document.write( "-5X>-96 DIVIDING BY A NEGATIVE INTEGER CHANGES THE > TO A <. \n" ); document.write( "X<-96/-5 \n" ); document.write( "X<19.2 \n" ); document.write( "THUS THE LARGEST EVEN INTEGER WOULD BE 18. \n" ); document.write( "18+2=20. \n" ); document.write( "PROOF \n" ); document.write( "100-3*18>2*20 \n" ); document.write( "100-54>40 \n" ); document.write( "46>40 \n" ); document.write( " |