document.write( "Question 804199: a two digit number is such that the tens digit exceeds twice the unit digit by 2 and the number obtained by inter changing the digit is 5 more than three times the sum of the digit, find the two digit number. \n" ); document.write( "

Algebra.Com's Answer #484662 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+t+\"$ = the tens digit
\n" ); document.write( "Let $\"+u+\"$ = the units digit
\n" ); document.write( "---------
\n" ); document.write( "(1) $\"+t+=+2u+%2B+2+\"$
\n" ); document.write( "(2) $\"+10u+%2B+t+=+3%2A%28+t+%2B+u+%29+%2B+5+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) $\"+10u+%2B+t+=+3t+%2B+3u+%2B+5+\"$
\n" ); document.write( "(2) $\"+7u+-+2t+=+5+\"$
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) $\"+7u+-+2%2A%28+2u+%2B+2+%29+=+5+\"$
\n" ); document.write( "(2) $\"+7u+-+4u+-+4+=+5+\"$
\n" ); document.write( "(2) $\"+3u+=+9+\"$
\n" ); document.write( "(2) $\"+u+=+3+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+t+=+2u+%2B+2+\"$
\n" ); document.write( "(1) $\"+t+=+2%2A3+%2B+2+\"$
\n" ); document.write( "(1) $\"+t+=+8+\"$
\n" ); document.write( "The number is 83
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+10u+%2B+t+=+3%2A%28+t+%2B+u+%29+%2B+5+\"$
\n" ); document.write( "(2) $\"+10%2A3+%2B+8+=+3%2A%28+8+%2B+3+%29+%2B+5+\"$
\n" ); document.write( "(2) $\"+38+=+3%2A11+%2B+5+\"$
\n" ); document.write( "(2) $\"+38+=+38+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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