document.write( "Question 406069: In a two-digit number, ten's digit is twice the units digit. The number formed by interchanging the digits is 36 less than the original number. Find the number. \n" ); document.write( "
Algebra.Com's Answer #286713 by ankor@dixie-net.com(22740)\"\" \"About 
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In a two-digit number,
\n" ); document.write( "Let x = the 10's digit
\n" ); document.write( "Let y = the units
\n" ); document.write( "then
\n" ); document.write( "10x+y = the number
\n" ); document.write( ":
\n" ); document.write( "'ten's digit is twice the units digit.\"
\n" ); document.write( "x = 2y
\n" ); document.write( ":
\n" ); document.write( " The number formed by interchanging the digits is 36 less than the original number
\n" ); document.write( "10y + x = 10x + y - 36
\n" ); document.write( "10y - y = 10x - x - 36
\n" ); document.write( "9y = 9x - 36
\n" ); document.write( "Simplify, divide by 9, results
\n" ); document.write( "y = x - 4
\n" ); document.write( "From the 1st statement; replace x with 2y
\n" ); document.write( "y = 2y - 4
\n" ); document.write( "4 = 2y - y
\n" ); document.write( "4 = y
\n" ); document.write( "then
\n" ); document.write( "x = 2(4)
\n" ); document.write( "x = 8
\n" ); document.write( "84 is the number:
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this in the statement:
\n" ); document.write( "\" The number formed by interchanging the digits is 36 less than the original number.\"
\n" ); document.write( "48 = 84 - 36\r
\n" ); document.write( "\n" ); document.write( " Find the number. \n" ); document.write( "
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