document.write( "Question 315980: find two consecutive even numbers such that the difference of one-half the larger number and two-fifths the smaller number is equal to five \n" ); document.write( "
Algebra.Com's Answer #226011 by checkley77(12844) ![]() You can put this solution on YOUR website! Let x & x+2 be the 2 even numbers. \n" ); document.write( "(x+2)/2-2x/5=5 find the LCD (10). \n" ); document.write( "[5(x+2)-2*2x]/2*5=5 \n" ); document.write( "[5x+10-4x]/10=5combinwe like terms. \n" ); document.write( "x+10/10=5 cross multiply. \n" ); document.write( "x+10=5*10 \n" ); document.write( "x+10=50 \n" ); document.write( "x=50-10 \n" ); document.write( "x=40 ans for the smaller number. \n" ); document.write( "40+2=42 ans for the larger number. \n" ); document.write( "Proof: \n" ); document.write( "42/2-2*40/5=5 \n" ); document.write( "21-80/5=5 \n" ); document.write( "20-16=5 \n" ); document.write( "5=5 \n" ); document.write( " |