document.write( "Question 140813: the sum of a two digit number is 10. if 18 be subtracted from it, the digits in the resulting number will be equal. the number is??? \n" ); document.write( "

Algebra.Com's Answer #102520 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Let x = 10's digit of a two digit number
\n" ); document.write( "Let y = units digit
\n" ); document.write( "Let z = the resulting equal digits
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"the sum of a two digit number is 10.\"
\n" ); document.write( "x + y = 10
\n" ); document.write( "or
\n" ); document.write( "y = (10-x)
\n" ); document.write( ":
\n" ); document.write( "\" if 18 be subtracted from it, the digits in the resulting number will be equal.\"
\n" ); document.write( "10x + y - 18 = 10z + z
\n" ); document.write( "10x + y = 11z + 18
\n" ); document.write( ":
\n" ); document.write( "Substitute (10-x) for y
\n" ); document.write( "10x + (10-x) = 11z + 18
\n" ); document.write( "10x - x = 11z + 18 - 10
\n" ); document.write( "9x = 11z + 8
\n" ); document.write( ":
\n" ); document.write( "The single digit integer values for x and z are limited to x=7 and z=5 in this equation:
\n" ); document.write( "x = 7, y = 3, z = 5
\n" ); document.write( ":
\n" ); document.write( "The number is 73
\n" ); document.write( ":
\n" ); document.write( "Check in the statement:
\n" ); document.write( "\"if 18 be subtracted from it, the digits in the resulting number will be equal.\"
\n" ); document.write( "73 - 18 = 55 \n" ); document.write( "

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