document.write( "Question 768894: In a 2 digit number, the sum of the digits is 14.If 29 is subtracted from the number,then digits become equal,find the number. \n" ); document.write( "

Algebra.Com's Answer #468641 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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In a 2 digit number, the sum of the digits is 14.
\n" ); document.write( ":
\n" ); document.write( "let x = the 10's digit
\n" ); document.write( "let y = the units
\n" ); document.write( "then
\n" ); document.write( "10x+y = \"the number\"
\n" ); document.write( "and
\n" ); document.write( "x + y = 14
\n" ); document.write( "or
\n" ); document.write( "y = (14-x)
\n" ); document.write( ":
\n" ); document.write( "If 29 is subtracted from the number,then digits become equal,
\n" ); document.write( "let n the equal digits
\n" ); document.write( ":
\n" ); document.write( "10x + y - 29 = 10n+n
\n" ); document.write( "10x + y - 29 = 11n
\n" ); document.write( "10x + (14-x) - 29 = 11n
\n" ); document.write( "10x - x + 14 - 29 = 11n
\n" ); document.write( "9x - 15 = 11n
\n" ); document.write( "9x = 11n + 15
\n" ); document.write( "x = $\"11%2F9\"$ n + $\"15%2F9\"$
\n" ); document.write( "x = $\"11%2F9\"$ n + $\"5%2F3\"$
\n" ); document.write( "Find a value for n that will give a single integer value for x
\n" ); document.write( "That would be n=6, then x = 9 and y = 5
\n" ); document.write( "we have:
\n" ); document.write( "95 - 29 = 66
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