document.write( "Question 832594: The sum of the three smallest of four consecutive odd integers is 30 more than the largest integer. What are the four consecutive odd integers?
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Algebra.Com's Answer #502113 by math-vortex(648)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Hi, there--\r\n" ); document.write( "\r\n" ); document.write( "THE PROBLEM:\r\n" ); document.write( "The sum of the three smallest of four consecutive odd integers is 30 more than the largest integer. What are the four consecutive odd integers?\r\n" ); document.write( "\r\n" ); document.write( "A SOLUTION:\r\n" ); document.write( "Let x be the smallest odd integer.\r\n" ); document.write( "\r\n" ); document.write( "Then the other three consecutive odd integers are x + 2, x + 4, and x + 5.\r\n" ); document.write( "\r\n" ); document.write( "The sum of the smallest three integers is 30 more than the largest integer, so\r\n" ); document.write( "\r\n" ); document.write( "x + (x + 2) + (x + 3) = (x + 5) + 30\r\n" ); document.write( "\r\n" ); document.write( "Solve for x to find the smallest integer.\r\n" ); document.write( "\r\n" ); document.write( "3x + 5 = x + 35\r\n" ); document.write( "2x + 5 = 35\r\n" ); document.write( "2x = 30\r\n" ); document.write( "x = 15\r\n" ); document.write( "\r\n" ); document.write( "In the context of this problem, x = 15 means that the smallest odd integer is 15. \r\n" ); document.write( "The other three integers are 17, 19, and 21.\r\n" ); document.write( "\r\n" ); document.write( "Check your answer:\r\n" ); document.write( "The sum of the three smallest odd integers is 15+17+19=51, and 51 is 30 more than 21. Check!\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hope this helps! Feel free to email if you have any questions about the solution.\r\n" ); document.write( "\r\n" ); document.write( "Good luck with your math,\r\n" ); document.write( "\r\n" ); document.write( "Mrs. F\r\n" ); document.write( "math.in.the.vortex@gmail.com\r\n" ); document.write( "\n" ); document.write( " |