document.write( "Question 653770: The sum of the digits of a two-digit number is 8. The number obtained by interchanging the two digits exceeds the given number by 36. Find the number. \n" ); document.write( "
Algebra.Com's Answer #408515 by ankor@dixie-net.com(22740)\"\" \"About 
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Let x = the 10's digit
\n" ); document.write( "Let y = the units
\n" ); document.write( "then
\n" ); document.write( "10x+y = the two digit number
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\n" ); document.write( "Write an equation for each statement
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\n" ); document.write( "The sum of the digits of a two-digit number is 8
\n" ); document.write( "x + y = 8
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\n" ); document.write( "The number obtained by interchanging the two digits exceeds the given number
\n" ); document.write( " by 36.
\n" ); document.write( "interchanged = original + 36
\n" ); document.write( "10y + x = 10x + y + 36
\n" ); document.write( "Combine like terms on the left:
\n" ); document.write( "10y - y - 10x + x = 36
\n" ); document.write( "9y - 9x = 36
\n" ); document.write( "simplify, divide by 9
\n" ); document.write( "y - x = 4
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\n" ); document.write( "Use elimination with the 1st equation
\n" ); document.write( "y - x = 4
\n" ); document.write( "y + x = 8
\n" ); document.write( "-----------adding eliminates x, find y
\n" ); document.write( "2y = 12
\n" ); document.write( "y = 6
\n" ); document.write( "You can finish this problem now I am sure\r
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