document.write( "Question 97595: find the third of four consecutive odd integers, given that the sum of the smallest two integers is four times the largest \n" ); document.write( "
Algebra.Com's Answer #71095 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! find the third of four consecutive odd integers, given that the sum of the smallest two integers is four times the largest \n" ); document.write( ": \n" ); document.write( "Let = x the third of the 4 consecutive odd integers \n" ); document.write( ": \n" ); document.write( "The 4 integers: \n" ); document.write( "(x-4), (x-2), x, (x+2) \n" ); document.write( ": \n" ); document.write( "\"the sum of the smallest two integers is four times the largest\" \n" ); document.write( ": \n" ); document.write( "(x-4) + (x- 2) = 4(x+2) \n" ); document.write( ": \n" ); document.write( "x + x - 4 -2 = 4x + 8 \n" ); document.write( ": \n" ); document.write( "2x - 6 = 4x + 8 \n" ); document.write( ": \n" ); document.write( "2x - 4x = 8 + 6 \n" ); document.write( ": \n" ); document.write( "-2x = 14 \n" ); document.write( ": \n" ); document.write( "x = 14/-2 \n" ); document.write( ": \n" ); document.write( "x = -7 is the 3rd integer \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check, the 4 integers, -11, -9, -7, -5 \n" ); document.write( "-11 + (-9) = 4(-5) \n" ); document.write( " -20 = -20 \n" ); document.write( " |