document.write( "Question 103954: The sum of three consecutive even integers is -240. What are the integers? \n" ); document.write( "
Algebra.Com's Answer #75632 by doukungfoo(195)![]() ![]() You can put this solution on YOUR website! Ok we need to find three consecutive intergers. \n" ); document.write( "Lets call the smallest interger x \n" ); document.write( "So if the other two intergers are consecutive then \n" ); document.write( "the second integer equals x+1 \n" ); document.write( "and the last interger equals x+2 \n" ); document.write( "Given: the sum of three consecutive intergers is -240 \n" ); document.write( "Now write and equation to express this and solve for x: \n" ); document.write( "(x)+(x+1)+(x+2) = -240 \n" ); document.write( "x+x+1+x+2 = -240 \n" ); document.write( "3x + 3 = -240 \n" ); document.write( "3x = -243 \n" ); document.write( "x = -81\r \n" ); document.write( "\n" ); document.write( "use this to find the other intergers \n" ); document.write( "second interger = x+1 \n" ); document.write( "second interger = -81+1 \n" ); document.write( "second interger = -80 \n" ); document.write( "---------------------- \n" ); document.write( "third interger = x+2 \n" ); document.write( "third interger = -81+2 \n" ); document.write( "third interger = -79 \n" ); document.write( "Answer: the intergers are -81, -80, -79 \n" ); document.write( "Check answers: \n" ); document.write( "The three intergers should add up to -240 \n" ); document.write( "(-81)+(-80)+(-79) = -240 \n" ); document.write( "-240 = -240 \n" ); document.write( " \n" ); document.write( " |