document.write( "Question 209550: three consecutive even integers are such that the sum of the smallest and 3 times the second is 38 more than twice the third. what are the integers? \n" ); document.write( "
Algebra.Com's Answer #158490 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Let the smallest integer be I \n" ); document.write( "Then the 2nd and 3rd are (I + 2) and (I + 4)\r \n" ); document.write( "\n" ); document.write( "Since the sum of the smallest and 3 times the second is 38 more than twice the 3rd, then we get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I + 3(I + 2) = 2(I + 4) + 38\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I + 3I + 6 = 2I + 8 + 38\r \n" ); document.write( "\n" ); document.write( "4I – 2I = 46 – 6\r \n" ); document.write( "\n" ); document.write( "2I = 40\r \n" ); document.write( "\n" ); document.write( "I = 20\r \n" ); document.write( "\n" ); document.write( "The integers are: \n" ); document.write( "\n" ); document.write( "------------ \n" ); document.write( "Check \n" ); document.write( "------------ \n" ); document.write( "20 + 3(22) = 2(24) + 38\r \n" ); document.write( "\n" ); document.write( "20 + 66 = 48 + 38\r \n" ); document.write( "\n" ); document.write( "86 = 86 \n" ); document.write( " \n" ); document.write( " |