document.write( "Question 327097: list all the two-digit numbers which leave a remainder of 6 and when 171 is divided by them \n" ); document.write( "

Algebra.Com's Answer #234330 by Fombitz(32388) $\"\"$ $\"About$

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Let X and Y both be integers, X has two digits.
\n" ); document.write( " $\"171%2FX=Y%2B6%2FX\"$
\n" ); document.write( " $\"171=XY%2B6\"$
\n" ); document.write( " $\"XY=165\"$
\n" ); document.write( "Look for factors of 165
\n" ); document.write( " $\"165=3%2A5%2A11\"$
\n" ); document.write( "The 2 digit product combiations are then
\n" ); document.write( " $\"11\"$
\n" ); document.write( " $\"15\"$
\n" ); document.write( " $\"33\"$
\n" ); document.write( " $\"55\"$
\n" ); document.write( "There are 4 2-digit numbers that leave a remainder of 6.
\n" ); document.write( " $\"171%2F11=15%2B6%2F11\"$
\n" ); document.write( " $\"171%2F15=11%2B6%2F15\"$
\n" ); document.write( " $\"171%2F33=5%2B6%2F33\"$
\n" ); document.write( " $\"171%2F55=3%2B6%2F55\"$ \n" ); document.write( "

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