document.write( "Question 967439: The difference between the digits of a digit number is 4. The sum of the numbers and the number formed by reversing its digit is 110. Find the two-digit number. \n" ); document.write( "

Algebra.Com's Answer #591372 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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let a = the 10's digit
\n" ); document.write( "let b = the units
\n" ); document.write( "then
\n" ); document.write( "10a+b = the two-digit number
\n" ); document.write( ":
\n" ); document.write( "The difference between the digits of a digit number is 4.
\n" ); document.write( "a - b = 4
\n" ); document.write( " The sum of the numbers and the number formed by reversing its digit is 110.
\n" ); document.write( "10a+b + 10b+a = 110
\n" ); document.write( "11a + 11b = 110
\n" ); document.write( "simplify, divide by 11
\n" ); document.write( "a + b = 10
\n" ); document.write( ":
\n" ); document.write( "Use elimination on these two equations
\n" ); document.write( "a - b = 4
\n" ); document.write( "a + b = 10
\n" ); document.write( "-------------addition eliminates b, find a
\n" ); document.write( "2a = 14
\n" ); document.write( "a = 7
\n" ); document.write( "then
\n" ); document.write( "b = 7 - 4
\n" ); document.write( "b = 3
\n" ); document.write( ":
\n" ); document.write( " Find the two-digit number. 73 is the number
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\n" ); document.write( ";
\n" ); document.write( "Check this: 73 + 37 = 110 \n" ); document.write( "

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