document.write( "Question 909154: The tens digits of a two digit number is 3 less than the units digit. If the number is divided by the sum of its digits, the quotient is 4 and the remainder is 6. Find the number. \n" ); document.write( "

Algebra.Com's Answer #551643 by lwsshak3(11628) $\"\"$ $\"About$

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The tens digits of a two digit number is 3 less than the units digit. If the number is divided by the sum of its digits, the quotient is 4 and the remainder is 6. Find the number.
\n" ); document.write( "***
\n" ); document.write( "let u=units digit
\n" ); document.write( "let t=tens digit
\n" ); document.write( "t=u-3
\n" ); document.write( "(10t+u)/(u+t)=4+6/(u+t)
\n" ); document.write( "lcd:(u+t)
\n" ); document.write( "(10t+u)=4(u+t)+6
\n" ); document.write( "(10u-30+u)=4(2u-3)+6
\n" ); document.write( "(11u-30)=8u-12+6
\n" ); document.write( "3u=24
\n" ); document.write( "u=8
\n" ); document.write( "t=u-3
\n" ); document.write( "t=5
\n" ); document.write( "number:58 \n" ); document.write( "

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