document.write( "Question 150577: the units digit of a two-digit number is less than its tens digit. if the number is divided by the sum of its digits, the quotient is 6 and the remainder is 8. find the number. \n" ); document.write( "

Algebra.Com's Answer #110534 by edjones(8007) $\"\"$ $\"About$

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Let u=unit digit and t=tens digit.
\n" ); document.write( "t>u
\n" ); document.write( "(10t+u)/(t+u)=6+(8/(t+u))
\n" ); document.write( "10t+u=6(t+u)+8
\n" ); document.write( "10t+u=6t+6u+8
\n" ); document.write( "4t=5u+8
\n" ); document.write( "t=5u/4+2
\n" ); document.write( "5u/4 must be an integer.
\n" ); document.write( "t=5*4/4 +2=7 when u=4
\n" ); document.write( "74 answer
\n" ); document.write( ".
\n" ); document.write( "Ed \n" ); document.write( "

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