document.write( "Question 316937: I am trying to figure out a two digit number that is the product of the sum of its digits and the number two. \n" ); document.write( "

Algebra.Com's Answer #226876 by Fombitz(32388) $\"\"$ $\"About$

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Let $\"AB\"$ be the number which is numerically $\"10%2AA%2BB\"$
\n" ); document.write( " $\"10%2AA%2BB=2%2A%28A%2BB%29\"$
\n" ); document.write( " $\"10%2AA%2BB=2A%2B2B\"$
\n" ); document.write( " $\"8A-B=0\"$
\n" ); document.write( " $\"8A=B\"$
\n" ); document.write( " $\"A\"$ and $\"B\"$ can only take integer values from $\"1\"$ to $\"9\"$ .
\n" ); document.write( " $\"B\"$ could have been $\"0\"$ but since it's now tied to $\"A\"$ , it cannot equal $\"0\"$ .
\n" ); document.write( "The only available value for $\"B\"$ is $\"1\"$ so that $\"A%3C9\"$ .
\n" ); document.write( " $\"B=1\"$
\n" ); document.write( " $\"A=8\"$
\n" ); document.write( "The number is $\"18\"$ .
\n" ); document.write( " \n" ); document.write( "

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