document.write( "Question 311547: find three consecutive integers such that the sum of the first two is 18 less than the opposite of the greatest integer \n" ); document.write( "
Algebra.Com's Answer #222901 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! find three consecutive integers \n" ); document.write( "x, x+1, x+2 \n" ); document.write( "; \n" ); document.write( "such that the sum of the first two is 18 less than the opposite of the greatest integer \n" ); document.write( "The opposite of the greatest = -(x+2), therefore the equation for this statement: \n" ); document.write( "x + (x+1) = -(x+2) - 18 \n" ); document.write( "Remove the brackets \n" ); document.write( "x + x + 1 = -x - 2 - 18 \n" ); document.write( ": \n" ); document.write( "2x + 1 = -x - 20 \n" ); document.write( ": \n" ); document.write( "2x + x = -20 - 1 \n" ); document.write( ": \n" ); document.write( "3x = -21 \n" ); document.write( "x = \n" ); document.write( "x = -7 \n" ); document.write( "the three consecutive integers, -7, -6, -5 \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution: opposite of greatest number = +5 \n" ); document.write( "\" sum of the first two is 18 less than the opposite of the greatest\" \n" ); document.write( "-7 + -6 = +5 - 18 \n" ); document.write( "-13 = -13: confirms our solution on this rather confusing problem \n" ); document.write( " |