document.write( "Question 670865: the sum of the digits of a certain two-digit number is 12. reversing its digits decreases the number by 54. find the number \n" ); document.write( "

Algebra.Com's Answer #417171 by stanbon(75887) $\"\"$ $\"About$

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the sum of the digits of a certain two-digit number is 12. reversing its digits decreases the number by 54. find the number
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\n" ); document.write( "Let the original number be 10t+u.
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\n" ); document.write( "Equation:
\n" ); document.write( "t + u = 12
\n" ); document.write( "10t+u - (10u+t) = 54
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\n" ); document.write( "t + u = 12
\n" ); document.write( "9t - 9u = 54
\n" ); document.write( "-------
\n" ); document.write( "t + u = 12
\n" ); document.write( "t - u = 6
\n" ); document.write( "-------
\n" ); document.write( "2t = 18
\n" ); document.write( "t = 9
\n" ); document.write( "----
\n" ); document.write( "Solve for \"u\":
\n" ); document.write( "t + u = 12
\n" ); document.write( "9 + u = 12
\n" ); document.write( "u = 3
\n" ); document.write( "------
\n" ); document.write( "Original Number: 10t+u = 93
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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