document.write( "Question 1046710: The sum of the digit of a two digit number is 9. the number is 6 times the units digit. find the number \n" ); document.write( "

Algebra.Com's Answer #662173 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) $\"+t+%2B+u+=+9+\"$
\n" ); document.write( "(2) $\"+10t+%2B+u+=+6u+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "(2) $\"+10t+=+5u+\"$
\n" ); document.write( "(2) $\"+2t+=+u+\"$
\n" ); document.write( "----------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+t+%2B+2t+=+9+\"$
\n" ); document.write( "(1) $\"+3t+=+9+\"$
\n" ); document.write( "(1) $\"+t+=+3+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "(2) $\"+u+=+2t+\"$
\n" ); document.write( "(2) $\"+u+=+2%2A3+\"$
\n" ); document.write( "(2) $\"+u+=+6+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "The number is 36
\n" ); document.write( "-------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+10t+%2B+u+=+6u+\"$
\n" ); document.write( "(2) $\"+10%2A3+%2B+6+=+6%2A6+\"$
\n" ); document.write( "(2) $\"+30+%2B+6+=+36+\"$
\n" ); document.write( "(2) $\"+36+=+36+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );