document.write( "Question 54982: 8 times the largest of three consecutive odd integers is 1 more than the sum of 3 times the smallest integer and 8 times the middle integer. The middle integer is. \n" ); document.write( "
Algebra.Com's Answer #37186 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
8 times the largest of three consecutive odd integers is 1 more than the sum of 3 times the smallest integer and 8 times the middle integer. The middle integer is.
\n" ); document.write( ":
\n" ); document.write( "First realize that when you count by odd numbers, you are adding 2. Observe,
\n" ); document.write( "1, 1+2,1+2+2,1+2+2+2...
\n" ); document.write( "1,3,5,7...
\n" ); document.write( "Therefore
\n" ); document.write( "Let the smallest number=x
\n" ); document.write( "Let the middle number=x+2
\n" ); document.write( "Let the largest number=x+2+2=x+4
\n" ); document.write( "8 times (8*)the largest (x+4)of three consecutive odd integers is(=) 1 more (+1) than the sum (+)of 3 times (3*)the smallest integer (x) and 8 times (8*)the middle integer (x+2). The middle integer is (x+2=).
\n" ); document.write( "8(x+4)=3x+8(x+2)+1
\n" ); document.write( "8x+32=3x+8x+16+1
\n" ); document.write( "8x+32=11x+17
\n" ); document.write( "-8x+8x+32=-8x+11x+17
\n" ); document.write( "32=3x+17
\n" ); document.write( "32-17=3x+17-17
\n" ); document.write( "15=3x
\n" ); document.write( "15/3=3x/3
\n" ); document.write( "5=x
\n" ); document.write( "The smallest integer:x=5
\n" ); document.write( "The middle integer:\"highlight%28x%2B2=5%2B2=7%29\"
\n" ); document.write( "The largest integer:x+4=5+4=9
\n" ); document.write( "Happy Calculating!!!\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );