document.write( "Question 965390: if a certain number with two digits is divided by the sum of the digits, the quotient is 6 and the remainder is 5. The difference between the given number and the number formed by reversing the digits is 18. find the given number \n" ); document.write( "
Algebra.Com's Answer #590140 by lwsshak3(11628)\"\" \"About 
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if a certain number with two digits is divided by the sum of the digits, the quotient is 6 and the remainder is 5. The difference between the given number and the number formed by reversing the digits is 18. find the given number
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\n" ); document.write( "let u=units digit
\n" ); document.write( "let t=tens digit
\n" ); document.write( "..
\n" ); document.write( "(10t+u)/(u+t)=6+5/(u+t)
\n" ); document.write( "lcd: (u+t)
\n" ); document.write( "10t+u=6u+6t+5
\n" ); document.write( "10t+u-10u-t=18
\n" ); document.write( "..
\n" ); document.write( "4t-5u=5
\n" ); document.write( "9t-9u=18
\n" ); document.write( "..
\n" ); document.write( "36t-45u=45 (mult eq. by 9)
\n" ); document.write( "36t-36u=72 (mult eq. by 4)
\n" ); document.write( "subtract:
\n" ); document.write( "9u=27
\n" ); document.write( "u=3
\n" ); document.write( "4t=5+5u=20
\n" ); document.write( "t=5
\n" ); document.write( "number: 10t+u=50+3=53
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