document.write( "Question 18423: The sum of four consecutive odd integers is 112. What is the greatest
\n" ); document.write( "of the four integers? \n" ); document.write( "
Algebra.Com's Answer #8804 by mmm4444bot(95)\"\" \"About 
You can put this solution on YOUR website!
Hello There:\r
\n" ); document.write( "\n" ); document.write( "Consecutive odd integers always differ by 2, so if we choose x to be the smallest of the four, then we can write the following expressions for the four consecutive odd integers:\r
\n" ); document.write( "\n" ); document.write( "x\r
\n" ); document.write( "\n" ); document.write( "x + 2\r
\n" ); document.write( "\n" ); document.write( "x + 4\r
\n" ); document.write( "\n" ); document.write( "x + 6\r
\n" ); document.write( "\n" ); document.write( "This leads to the following equation:\r
\n" ); document.write( "\n" ); document.write( "x + x + 2 + x + 4 + x + 6 = 112\r
\n" ); document.write( "\n" ); document.write( "Simplify the left side:\r
\n" ); document.write( "\n" ); document.write( "4x + 12 = 112\r
\n" ); document.write( "\n" ); document.write( "Solve for x:\r
\n" ); document.write( "\n" ); document.write( "4x = 100\r
\n" ); document.write( "\n" ); document.write( "x = 25\r
\n" ); document.write( "\n" ); document.write( "Our four integers are: 25, 27, 29, 31.\r
\n" ); document.write( "\n" ); document.write( "So, the answer is 31.\r
\n" ); document.write( "\n" ); document.write( "(Check to verify that these integers add up to 112.)\r
\n" ); document.write( "\n" ); document.write( "~ Mark
\n" ); document.write( " \n" ); document.write( "
\n" );