document.write( "Question 28997: The sum of three consecutive integers is negative fifty seven. Find the integers \n" ); document.write( "
Algebra.Com's Answer #15832 by sdmmadam@yahoo.com(530)![]() ![]() ![]() You can put this solution on YOUR website! The sum of three consecutive integers is negative fifty seven. Find the integers \n" ); document.write( "Let the three consecutive integers be (a-1), a and (a+1) \n" ); document.write( "The sum of the three consecutive integers is (-57) \n" ); document.write( "Therefore (a-1)+ a + (a+1)= -57 \n" ); document.write( " (a+a+a)+(-1+1) = -57 (by additive commutativity and associativity) \n" ); document.write( " 3a+0=-57 \n" ); document.write( " 3a= -57 \n" ); document.write( " a = (-57)/3 = -(3X19)/3 = -19 \n" ); document.write( "The three consecutive integers are (a-1), a and (a+1) \n" ); document.write( "They are [(-19)-1],(-19) and [(-19)+1] \n" ); document.write( "That is -20,-19,-18 \n" ); document.write( "Answer: The three consecutive integers are -20,-19,and -18\r \n" ); document.write( "\n" ); document.write( "Note: Any two consecutive integers differ by 1 \n" ); document.write( "Note: What is the idea behind taking the three consecutive integers in the above fashion. \n" ); document.write( "Answer: The data is taliking about the sum of the three consecutive integers.So if we take them in the above fashion, you directly arrive at a single,simple equation in the unknown a! \n" ); document.write( "That is the trick. You may even do it orally!.Cool is n't it?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |