document.write( "Question 400178: What is the sum of two consecutive odd numbers plus the next even number is 56 I have to write an algebraic equation \n" ); document.write( "

Algebra.Com's Answer #283354 by Tatiana_Stebko(1539) $\"\"$ $\"About$

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Odd number we can write in this way $\"2%2An-1\"$ when n is integer
\n" ); document.write( "then consecutive odd number is $\"2%2A%28n%2B1%29-1=2n%2B2-1=2n%2B1\"$
\n" ); document.write( "and the next even number (just next number after $\"2n%2B1\"$ ) is $\"%282n%2B1%29%2B1=2n%2B1%2B1=2n%2B2\"$
\n" ); document.write( "the sum of two consecutive odd numbers plus the next even number is $\"%282n-1%29%2B%282n%2B1%29%2B%282n%2B2%29=2n-1%2B2n%2B1%2B2n%2B2=6n%2B2\"$
\n" ); document.write( "From problem's text we know that the sum of two consecutive odd numbers plus the next even number is 56
\n" ); document.write( "So equation is\r
\n" ); document.write( "\n" ); document.write( " $\"%282n-1%29%2B%282n%2B1%29%2B%282n%2B2%29=56\"$
\n" ); document.write( ".
\n" ); document.write( " $\"6n%2B2=56\"$ \n" ); document.write( "

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