document.write( "Question 182112: Q. (((The product of two consecutive odd numbers is 10 more than the square of the smaller number))). \n" ); document.write( "

Algebra.Com's Answer #136742 by mastermath(14) $\"\"$ $\"About$

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Let x and (x+2) be the two consecutive odd numbers.
\n" ); document.write( "Their product is x(x+2).
\n" ); document.write( "The product of two consecutive odd numbers is 10 more than the square of the smaller number.
\n" ); document.write( "The smaller number is x.
\n" ); document.write( "so, the equation becomes\r
\n" ); document.write( "\n" ); document.write( "x(x+2)= x²+ 10
\n" ); document.write( "x² + 2x = x² + 10
\n" ); document.write( "We can subtract x² on both the sides.
\n" ); document.write( "2x=10
\n" ); document.write( "now divide with 2 on both the sides
\n" ); document.write( "x=5.
\n" ); document.write( "x+2=5+2=7.
\n" ); document.write( "So, the smaller odd number is 5.
\n" ); document.write( "And the larger odd number is 7. \n" ); document.write( "

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