document.write( "Question 551: Find three consecutive odd integers whose sum is -81.
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document.write( "Please some me how to get the answer. \n" );
document.write( "
Algebra.Com's Answer #218 by arden42(16)![]() ![]() ![]() You can put this solution on YOUR website! OK, we want 3 numbers, so we'll call them x, y and z.\r \n" ); document.write( "\n" ); document.write( "Now, we know that:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If they are consecutive odd integers, then we also know that:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "and \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The second-last equation can be substituted into the last one, giving:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Expand the brackets:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substituting these values for y and z into the original equation gives:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Expand the brackets:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 6 from both sides:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide by 3:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Using the values of y and z from above we get:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the 3 integers are -25,-27 and -29. \n" ); document.write( " |