document.write( "Question 186120This question is from textbook Algebra 1
\n" ); document.write( ": John reversed the digits in the ammount of a check and underpaid a customer by $36. The sum of the digits in the two-digit amount was eight. Find the amount of the check. \n" ); document.write( "
Algebra.Com's Answer #139596 by ankor@dixie-net.com(22740)\"\" \"About 
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John reversed the digits in the amount of a check and underpaid a customer by $36. The sum of the digits in the two-digit amount was eight. Find the amount of the check.
\n" ); document.write( ":
\n" ); document.write( "Let x = 10's digit of the correct amt;
\n" ); document.write( "Let y = units digit
\n" ); document.write( ":
\n" ); document.write( "10x + y = correct amt
\n" ); document.write( "10y + x = incorrect amt
\n" ); document.write( ":
\n" ); document.write( "Correct# - incorrect# = 36
\n" ); document.write( "(10x + y) - (10y + x) = 36
\n" ); document.write( "Removed brackets
\n" ); document.write( "10x + y - 10y - x = 36
\n" ); document.write( ":
\n" ); document.write( "9x - 9y = 36
\n" ); document.write( "Simplify, divide by 9
\n" ); document.write( "x - y = 4
\n" ); document.write( ":
\n" ); document.write( "Write an equation for the statement,
\n" ); document.write( "\"sum of the digits in the two-digit amount was eight.\"
\n" ); document.write( "x + y = 8
\n" ); document.write( ";
\n" ); document.write( "Add the two equations
\n" ); document.write( "x - y = 4
\n" ); document.write( "x + y = 8
\n" ); document.write( "--------------adding eliminates y, find x
\n" ); document.write( "2x = 12
\n" ); document.write( "x = 6
\n" ); document.write( "then
\n" ); document.write( "y = 2, obviously
\n" ); document.write( ":
\n" ); document.write( "correct $value is 62
\n" ); document.write( "incorrect $value 26
\n" ); document.write( "------------------------
\n" ); document.write( "difference is = 36 \n" ); document.write( "
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