document.write( "Question 1096584: the sum of two digit number and the number obtained by interchanging its digits is 99. find the number \n" ); document.write( "

Algebra.Com's Answer #711018 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "the sum of two digit number and the number obtained by interchanging its digits is 99. find the number
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Let the tens and units digits be T and U, respectively
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document.write( "Then the number is 10T + U, and the reversed number is 10U + T
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document.write( "We then get: 10T + U + 10U + T = 99
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document.write( "11T + 11U = 99
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document.write( "11(T + U) = 11(9)
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document.write( "T + U = 9
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document.write( "Therefore, any 2 digits that sum to 9 will satisfy. It's NOT unique as there're more than 1 answers.
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document.write( "In other words, the digits can be:   1 and 8, or the number 18, the reverse being 81                                 
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document.write( "                                     2 and 7, or the number 27, the reverse being 72
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document.write( "                                     3 and 6, or the number 36, the reverse being 63
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document.write( "                                     4 and 5, or the number 45, the reverse being 54 \n" );
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