document.write( "Question 1201465: The units digit of a two-digit number is 2 more than twice the tens digit. When the digits are reversed, the difference of it to the original number is 31 less than twice the original number. Find the original number. \n" ); document.write( "

Algebra.Com's Answer #835846 by josgarithmetic(39630) $\"\"$ $\"About$

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u and t
\n" ); document.write( "Ones and Tens
\n" ); document.write( " $\"10t%2Bu\"$ , the original number\r
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\n" ); document.write( "\n" ); document.write( " $\"u=2t%2B2\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Reversing the number, $\"t%2B10u\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%28t%2B10u%29-%2810t%2Bu%29=2%2810t%2Bu%29-31\"$ , second part of description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"9u-9t=20t%2B2u-31\"$
\n" ); document.write( " $\"7u-29t=-31\"$
\n" ); document.write( " $\"29t-7u=31\"$
\n" ); document.write( "-
\n" ); document.write( "Substituting for u
\n" ); document.write( " $\"29t-7%282t%2B2%29=31\"$
\n" ); document.write( " $\"29t-14t-14=31\"$
\n" ); document.write( " $\"15t=31%2B14\"$
\n" ); document.write( " $\"15t=45\"$
\n" ); document.write( " $\"highlight%28t=3%29\"$
\n" ); document.write( "-
\n" ); document.write( "substituting into u
\n" ); document.write( " $\"u=2%2A3%2B2\"$
\n" ); document.write( " $\"highlight%28u=8%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Original Number, 38 \n" ); document.write( "

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