document.write( "Question 178911: The sum of a two digit number is 13. When 9 is subtracted from the original number, the resulting number is the reverse of the original number. What is the new number? \n" ); document.write( "

Algebra.Com's Answer #133863 by stanbon(75887) $\"\"$ $\"About$

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The sum of the digits of a two digit number is 13. When 9 is subtracted from the original number, the resulting number is the reverse of the original number. What is the new number?
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\n" ); document.write( "Let the number be 10t+u
\n" ); document.write( "Equations:
\n" ); document.write( "t+u = 13
\n" ); document.write( "10t+u-9 = 10u+t
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\n" ); document.write( "Rearrange:
\n" ); document.write( "t + u = 13
\n" ); document.write( "9t - 9u = 9
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\n" ); document.write( "Simplify:
\n" ); document.write( "t + u = 13
\n" ); document.write( "t - u = 1
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\n" ); document.write( "Add to solve for \"t\":
\n" ); document.write( "2t = 14
\n" ); document.write( "t = 7
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\n" ); document.write( "Since t+u = 13, u = 6
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\n" ); document.write( "The number is 76
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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