document.write( "Question 462315: Hi, I am really struggling with this word problem involving consecutive integers, I have the answer to the problem because it is provided but I do not know how to set it up, I probly could solve it if I just could figure out how to set it up.. Here it is: Find 3 consecutive odd integers such that the largest number is 5 more than the sum of the first two. Can you please show me how to set this up? Here is what I have tried:x+4=x+x+2(5), also tried x+4=5+x+x+2, and x+4=5+(x+x+2) and several other ways! Please help!!!! Thank you for your time, Diana \n" ); document.write( "

Algebra.Com's Answer #316955 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the smallest odd integer = $\"+n+\"$
\n" ); document.write( "The next larger odd integer = $\"+n+%2B+2+\"$
\n" ); document.write( "The next larger odd integer = $\"+n+%2B+4+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+n+%2B+4+=+5+%2B+%28n+%2B+n+%2B+2%29+\"$
\n" ); document.write( " $\"+n++%2B+4+=+2n+%2B+7+\"$
\n" ); document.write( "Subtract $\"+n+\"$ from both sides
\n" ); document.write( " $\"+4+=+n+%2B+7+\"$
\n" ); document.write( "Subtract $\"+7+\"$ from both sides
\n" ); document.write( " $\"+n+=+-3+\"$
\n" ); document.write( " $\"+n+%2B+2+=+-1+\"$
\n" ); document.write( " $\"+n+%2B+4+=+3+\"$
\n" ); document.write( "The numbers are $\"-3\"$ , $\"-1\"$ , and $\"3\"$
\n" ); document.write( "check:
\n" ); document.write( " $\"+n+%2B+4+=+5+%2B+%28n+%2B+n+%2B+2%29+\"$
\n" ); document.write( " $\"+-3+%2B+4+=+5+%2B+%28-3+-3+%2B+2%29+\"$
\n" ); document.write( " $\"+1+=+5+%2B+2+-+6+\"$
\n" ); document.write( " $\"+1+=+1+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );