document.write( "Question 781192: There is a certain number less than 100. The sum of the digits is 7 and the product of the digits is 6. What is the number? \n" ); document.write( "
Algebra.Com's Answer #476139 by tommyt3rd(5050)![]() ![]() You can put this solution on YOUR website! we describe the number as 100=xy so that x is in the 10's place and y in the ones place, then:\r \n" ); document.write( "\n" ); document.write( "1) x+y=7 \n" ); document.write( "2) xy=6\r \n" ); document.write( "\n" ); document.write( "x=6/y\r \n" ); document.write( "\n" ); document.write( "6/y+y=7 \n" ); document.write( "6+y^2=7y \n" ); document.write( "y^2-7y+6=0 \n" ); document.write( "(y-6)(y-1)=0\r \n" ); document.write( "\n" ); document.write( "y=6 or y=1\r \n" ); document.write( "\n" ); document.write( "there are two numbers possible: 16 and 61 \n" ); document.write( " |