document.write( "Question 390638: find four consecutive even integers such that the sum of twice the first, five times the second, and four times the third divided by three times the fourth equals three \n" ); document.write( "
Algebra.Com's Answer #277090 by checkley79(3341)![]() ![]() ![]() You can put this solution on YOUR website! Let x, x+2, x+4, x+6 be the 4 even integers. \n" ); document.write( "[2x+5(x+2)+4(x+4)]/3(x+6)=3 \n" ); document.write( "[2x+5x+10+4x+16]/(3x+18)=3 \n" ); document.write( "[11x+26]/(3x+18)=3 cross multiply \n" ); document.write( "11x+26=3(3x+18 \n" ); document.write( "11x+26=9x+54 \n" ); document.write( "11x-9x=54-26 \n" ); document.write( "2x=28 \n" ); document.write( "x=28/2 \n" ); document.write( "x=14 ans. for the first integer. \n" ); document.write( "Proof: \n" ); document.write( "[2*14+5(14+2)+4(14+4)]/3(14+6)=3 \n" ); document.write( "[28+5*16+4*18]/3*20=3 \n" ); document.write( "[28+80+72]/60=3 \n" ); document.write( "180/60=3 \n" ); document.write( "3=3\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |