document.write( "Question 575883: The sum of the digits of a two-digit number is 8. the number with its digits interchanged is 11 times the original units digit. \n" ); document.write( "

Algebra.Com's Answer #369635 by josmiceli(19441) $\"\"$ $\"About$

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Let the units digit = $\"+b+\"$
\n" ); document.write( "Let the 10's digit = $\"+a+\"$
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+8+\"$
\n" ); document.write( "(2) $\"+10b+%2B+a+=+11b+\"$
\n" ); document.write( "----------------
\n" ); document.write( "(2) $\"+b+=+a+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+2a+=+8+\"$
\n" ); document.write( "(1) $\"+a+=+4+\"$
\n" ); document.write( "(1) $\"+b+=+4+\"$
\n" ); document.write( "The number is 44 \n" ); document.write( "

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