document.write( "Question 132278: The sum of the digits of a 2-digit number is 7. If 27 is added to the number, the resulting number has the same digits in the reverse order. What is the number? \n" ); document.write( "

Algebra.Com's Answer #96624 by josmiceli(19441) $\"\"$ $\"About$

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Let the 10s place digit = $\"a\"$
\n" ); document.write( "Let the 1s place digit = $\"b\"$
\n" ); document.write( " $\"a+%2B+b+=+7\"$
\n" ); document.write( " $\"a+=+7+-+b\"$
\n" ); document.write( " $\"10a+%2B+b+%2B+27+=+10b+%2B+a\"$
\n" ); document.write( " $\"10%287+-+b%29+%2B+b+%2B+27+=+10b+%2B+7+-+b\"$
\n" ); document.write( " $\"70+-+10b+%2B+b+%2B+27+=+9b+%2B+7\"$
\n" ); document.write( " $\"-9b+%2B+97+=+9b+%2B+7\"$
\n" ); document.write( " $\"18b+=+90\"$
\n" ); document.write( " $\"b+=+5\"$
\n" ); document.write( " $\"a+=+7+-+b\"$
\n" ); document.write( " $\"a+=+2\"$
\n" ); document.write( "The number is 25
\n" ); document.write( "check:
\n" ); document.write( " $\"10a+%2B+b+%2B+27+=+10b+%2B+a\"$
\n" ); document.write( " $\"10%2A2+%2B+5+%2B+27+=+10%2A5+%2B+2\"$
\n" ); document.write( " $\"25+%2B+27+=+52\"$
\n" ); document.write( " $\"52+=+52\"$
\n" ); document.write( "OK \n" ); document.write( "

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