document.write( "Question 918406: The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number? \n" ); document.write( "
Algebra.Com's Answer #557044 by josgarithmetic(39617)\"\" \"About 
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The number: 10T+U.
\n" ); document.write( "Description transcribed: \"T%2BU=7\" and \"10U%2BT-%2810T%2BU%29=9\".\r
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\n" ); document.write( "\n" ); document.write( "Be sure you understand that and can work with those equations.\r
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\n" ); document.write( "\n" ); document.write( "The \"increase by 9\" equation:
\n" ); document.write( "\"10U%2BT-10T-U=9\"
\n" ); document.write( "\"9U-9T=9\"
\n" ); document.write( "\"highlight_green%28U-T=1%29\"\r
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\n" ); document.write( "\n" ); document.write( "Simplified system is now identifiable.
\n" ); document.write( "\"highlight%28system%28U%2BT=7%2CU-T=1%29%29\"
\n" ); document.write( "This system is perfectly ready for solving using the elimination method.\r
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\n" ); document.write( "\n" ); document.write( "Subtract corresponding members of the equations.
\n" ); document.write( "\"2T=6\"
\n" ); document.write( "\"T=3\"
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\n" ); document.write( "Add corresponding members of the equations.
\n" ); document.write( "\"2U=8\"
\n" ); document.write( "\"U=4\"
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\n" ); document.write( "The original number is \"highlight%283%2A10%2B4%2A1=highlight%2834%29%29\".
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