document.write( "Question 231489: The sum of the two digit number is 10.If 18 be subtracted from it the digits in the resulting number will be equal. \n" ); document.write( "
Algebra.Com's Answer #171478 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Let 10x+y = \"the two digit number\"
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\n" ); document.write( "The sum of the two digit number is 10.
\n" ); document.write( "x + y = 10
\n" ); document.write( "or
\n" ); document.write( "x = (10-y); for substitution
\n" ); document.write( ":
\n" ); document.write( "If 18 be subtracted from it, the digits in the resulting number will be equal.
\n" ); document.write( "10x + y - 18 = a two digit number with the same digits
\n" ); document.write( ":
\n" ); document.write( "let z be the digits of the resulting two digit number, and write it:
\n" ); document.write( "10z + z = 10x + y - 18
\n" ); document.write( ":
\n" ); document.write( "Substitute (10-y) for x
\n" ); document.write( "11z = 10(10-y) + y - 18
\n" ); document.write( "11z = 100 - 10y + y - 18
\n" ); document.write( "11z = 100 - 9y - 18
\n" ); document.write( "11z = -9y + 82
\n" ); document.write( "z = \"-9%2F11\"y + \"82%2F11\"
\n" ); document.write( ":
\n" ); document.write( "Substitute a value for y, that gives an integer value for z;
\n" ); document.write( "y = 3, z = 5; is the only one
\n" ); document.write( "then
\n" ); document.write( "x = 10 - 3
\n" ); document.write( "x = 7
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\n" ); document.write( "73 = \"the number\"
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\n" ); document.write( "see if that works
\n" ); document.write( "73 - 18 = 55!!\r
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