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the sum of a two digit number and the number formed by reversing the order digits is 88.
\n" ); document.write( " if difference of the digits is 2 and the units digit is greater.
\n" ); document.write( " find the number
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\n" ); document.write( "Let x = the 10's digit
\n" ); document.write( "Let y = the units
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\n" ); document.write( "Write an equation for each statement:
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\n" ); document.write( "\"the sum of a two digit number and the number formed by reversing the order digits is 88.\"
\n" ); document.write( "(10x + y) + (10y + x) = 88
\n" ); document.write( "11x + 11y = 88
\n" ); document.write( "Simplify, divide by 11
\n" ); document.write( "x + y = 8
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\n" ); document.write( "\"if difference of the digits is 2 and the units digit is greater.\"
\n" ); document.write( "y - x = 2
\n" ); document.write( "we can use elimination with the 1st equation
\n" ); document.write( "y - x = 2
\n" ); document.write( "y + x = 8
\n" ); document.write( "--------------Adding eliminates x, find y
\n" ); document.write( "2y = 10
\n" ); document.write( "y = 5 is the units digit
\n" ); document.write( "then
\n" ); document.write( "5 - 2 = 3 is 10's digit
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\n" ); document.write( "35 is the number
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\n" ); document.write( ":
\n" ); document.write( "Check solution in the 1st statement:
\n" ); document.write( "the sum of a two digit number and the number formed by reversing the order digits is 88.
\n" ); document.write( "35 + 83 = 88 \n" ); document.write( "