document.write( "Question 539342: The sum of the digits of a certain 2 digit number is 11. Reversing its digits increases the number by 63. Find the number. \n" ); document.write( "

Algebra.Com's Answer #353409 by josmiceli(19441) $\"\"$ $\"About$

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Let the 10's digit = $\"a\"$
\n" ); document.write( "Let the 1's digit = $\"b\"$
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+11+\"$
\n" ); document.write( "(2) $\"+10b+%2B+a+=+10a+%2B+b+%2B+63+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) $\"+10b+-+b+-+10a+%2B+a+=+63+\"$
\n" ); document.write( "(2) $\"+9b+-+9a+=+63+\"$
\n" ); document.write( "(2) $\"+b+-+a+=+7+\"$
\n" ); document.write( "(1) $\"+b+%2B+a+=+11+\"$
\n" ); document.write( "Add the equations
\n" ); document.write( " $\"+2b+=+18+\"$
\n" ); document.write( " $\"+b+=+9+\"$
\n" ); document.write( "And, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+11+\"$
\n" ); document.write( "(1) $\"+a+%2B+9+=+11+\"$
\n" ); document.write( "(1) $\"+a+=+2+\"$
\n" ); document.write( "The number is 29 \n" ); document.write( "

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