document.write( "Question 1206861: given four consecutive odd numbers.when the square of the second number is subtrcted from the product of the first and last numbers,the answer is 22.find them. \n" ); document.write( "

Algebra.Com's Answer #844552 by greenestamps(13216) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Looking ahead to see that the second of the four consecutive odd numbers is squared, I will guess that the algebra required to solve the problem might be easiest if I let x be the second number. So the four consecutive odd numbers are x-2, x, x+2, and x+4.

\n" ); document.write( "Then the problem says

\n" ); document.write( " $\"%28x-2%29%28x%2B4%29-x%5E2=22\"$
\n" ); document.write( " $\"x%5E2%2B2x-8-x%5E2=22\"$
\n" ); document.write( " $\"2x-8=22\"$
\n" ); document.write( " $\"2x=30\"$
\n" ); document.write( " $\"x=15\"$

\n" ); document.write( "The second number is x=15; the four numbers are then 13, 15, 17, and 19.

\n" ); document.write( "ANSWER: 13, 15, 17, and 19

\n" ); document.write( "CHECK: (13*19)-15^2=247-225=22

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

\n" );