document.write( "Question 465158: if the sum of digits of two digits number is 5 and the sum of the reciprocals of the digits is 5 / 6 than the number is \n" ); document.write( "

Algebra.Com's Answer #318723 by mananth(16946) $\"\"$ $\"About$

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x+y=5.....................1\r
\n" ); document.write( "\n" ); document.write( "1/x + 1/y = 5/6..............2
\n" ); document.write( "x+y/xy=5/6
\n" ); document.write( "6(x+y)= 5xy
\n" ); document.write( "6*5/5=xy
\n" ); document.write( "6=xy
\n" ); document.write( "x=6/y\r
\n" ); document.write( "\n" ); document.write( "plug in (1)\r
\n" ); document.write( "\n" ); document.write( "6/y+y=5
\n" ); document.write( "multiply by y\r
\n" ); document.write( "\n" ); document.write( "6+y^2=5y
\n" ); document.write( "y^2-5y+6=0
\n" ); document.write( "y^2-3y-2y+6=0
\n" ); document.write( "y(y-3)-2(y-3)=0
\n" ); document.write( "(y-3)(y-2)=0
\n" ); document.write( "y=3 OR 2
\n" ); document.write( "So x = 2 OR 3\r
\n" ); document.write( "\n" ); document.write( "23 OR 32
\n" ); document.write( " \n" ); document.write( "

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