document.write( "Question 549378: If 27 is added to a two digit number, the result is a number with the same digits, but in reverse order. The sum of the digits is 11. What is the original number?
\n" ); document.write( " Can you please solve this for me step by step? \n" ); document.write( "

Algebra.Com's Answer #357704 by stanbon(75887) $\"\"$ $\"About$

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If 27 is added to a two digit number, the result is a number with the same digits, but in reverse order. The sum of the digits is 11. What is the original number?
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\n" ); document.write( "Let the 2-digit number be 10t+u.
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\n" ); document.write( "Equation:
\n" ); document.write( "10t+u + 27 = 10u+t
\n" ); document.write( "t + u = 11
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\n" ); document.write( "9t-9u = -27
\n" ); document.write( "t + u = 11
\n" ); document.write( "------------
\n" ); document.write( "t - u = -3
\n" ); document.write( "t + u = 11
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\n" ); document.write( "Add and solve for \"t\":
\n" ); document.write( "2t = 8
\n" ); document.write( "t = 4
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\n" ); document.write( "Solve for \"u\":
\n" ); document.write( "t + u = 4
\n" ); document.write( "4 + u = 4
\n" ); document.write( "u = 0
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\n" ); document.write( "The 2-digit number:
\n" ); document.write( "10t + u = 40
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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