document.write( "Question 1190062: Three consecutive even integers exist such that when the sum of the smallest and middle-valued integers is subtracted from the largest integer, the result is −18. What are the three integers? (Enter your answers as a comma-separated list.) \n" ); document.write( "
Algebra.Com's Answer #821628 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Three consecutive even integers exist \n" ); document.write( "n, (n+2), (n+4) \n" ); document.write( ": \n" ); document.write( " such that when the sum of the smallest and middle-valued integers is subtracted from the largest integer, \n" ); document.write( " the result is −18. \n" ); document.write( "(n+4) - ((n+2) + n) = -18 \n" ); document.write( "remove the brackets, neg changes the signs \n" ); document.write( "n + 4 - n - 2 - n = -18 \n" ); document.write( "combine like terms \n" ); document.write( "n - n - n + 4 - 2 = -18 \n" ); document.write( "-n + 2 = -18 \n" ); document.write( "-n = -18 - 2 \n" ); document.write( "-n = -20 \n" ); document.write( "mult by -1, therefore \n" ); document.write( "n = 20 \n" ); document.write( ": \n" ); document.write( " What are the three integers? (Enter your answers as a comma-separated list.) \n" ); document.write( "20, 22, 24 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "check: \n" ); document.write( "24 - (22 + 20) \n" ); document.write( "24 - 42 = -18 \n" ); document.write( " |