document.write( "Question 1164580: Two consecutive odd numbers are such that seven times the smaller, subtracted from nine times the bigger gives 144.Find the two numbers
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #788996 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "I have a habit of using x-1 and x+1 (instead of x and x+2) for solving problems involving consecutive odd numbers; it often makes the algebra easier. So

\n" ); document.write( " $\"9%28x%2B1%29-7%28x-1%29+=+144\"$
\n" ); document.write( " $\"9x%2B9-7x%2B7+=+144\"$
\n" ); document.write( " $\"2x%2B16+=+144\"$
\n" ); document.write( " $\"x%2B8+=+72\"$
\n" ); document.write( " $\"x+=+64\"$

\n" ); document.write( "ANSWER: The two numbers are 63 and 65.

\n" ); document.write( "CHECK:
\n" ); document.write( "9(65)-7(63) = 585-441 = 144

\n" ); document.write( "NOTE: Using x-1 and x+1 for the two numbers in this problem probably made the algebra harder.... lol

\n" ); document.write( " \n" ); document.write( "

\n" );