document.write( "Question 235355: The sum of the digits of a 2-digit number is 8. When 36 is added to the number, the digits are reversed. What would be the number? \n" ); document.write( "
Algebra.Com's Answer #173769 by ankor@dixie-net.com(22740)\"\" \"About 
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Let x = the 10's digit
\n" ); document.write( "Let y = the units
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\n" ); document.write( "10x + y = the two digit number
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\n" ); document.write( "The sum of the digits of a 2-digit number is 8.
\n" ); document.write( "x + y = 8
\n" ); document.write( "y = (8-x)
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\n" ); document.write( " When 36 is added to the number, the digits are reversed.
\n" ); document.write( "10x + y + 36 = 10y + x
\n" ); document.write( "10x - x = 10y - y - 36
\n" ); document.write( "9x = 9y - 36
\n" ); document.write( "Simplify, divide by 9:
\n" ); document.write( "x = y - 4
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\n" ); document.write( " What would be the number?
\n" ); document.write( "replace y with (8-x)
\n" ); document.write( "x = (8-x) - 4
\n" ); document.write( "x + x = 8 -4
\n" ); document.write( "2x = 4
\n" ); document.write( "x = 2
\n" ); document.write( "then
\n" ); document.write( "y = 8 - x
\n" ); document.write( "y = 8 - 2
\n" ); document.write( "y = 6
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\n" ); document.write( "26 is the number
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\n" ); document.write( "Check solution
\n" ); document.write( "26 + 36 = 62 \n" ); document.write( "
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