document.write( "Question 203182: The sum of the digit of a 2-digit number is 7. If 27 is added to the number, the result is expressed by the digits in reverse order. Find the number \n" ); document.write( "
Algebra.Com's Answer #153292 by ankor@dixie-net.com(22740)\"\" \"About 
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The sum of the digit of a 2-digit number is 7. If 27 is added to the number,
\n" ); document.write( " the result is expressed by the digits in reverse order. Find the number
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\n" ); document.write( "Let x = the 10's digit
\n" ); document.write( "Let y = the units digit
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\n" ); document.write( "x + y = 7
\n" ); document.write( "y = (7 - x)
\n" ); document.write( ":
\n" ); document.write( "\"If 27 is added to the number, the result is expressed by the digits in reverse order.\"
\n" ); document.write( "10x + y + 27 = 10y + x
\n" ); document.write( "10x - x = 10y - y
\n" ); document.write( "9x + 27 = 9y
\n" ); document.write( "Simplify divide by 9
\n" ); document.write( "x + 3 = y
\n" ); document.write( "Substitute for y
\n" ); document.write( "x + 3 = 7 - x
\n" ); document.write( "x + x = 7 - 3
\n" ); document.write( "2x = 4
\n" ); document.write( "x = 2
\n" ); document.write( "then
\n" ); document.write( "y = 7-2
\n" ); document.write( "y = 5
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\n" ); document.write( "the number: 25
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\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"If 27 is added to the number, the result is expressed by the digits in reverse order.\"
\n" ); document.write( "25 + 27 = 52 \n" ); document.write( "
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