document.write( "Question 212095: what 2 digit number is equal to twice the product of it's digits? \n" ); document.write( "
Algebra.Com's Answer #160204 by Fombitz(32388)![]() ![]() You can put this solution on YOUR website! Let the number be \n" ); document.write( "A*10+B where A and B are between 0 and 9 \n" ); document.write( "A*10+B=2(AB) \n" ); document.write( "10+(B/A)=2B \n" ); document.write( "B and A must be multiples of each other for this equation to work. \n" ); document.write( "(2,4) and (3,6) are the only digits that are multiples. \n" ); document.write( "10+(4/2)=2(4) \n" ); document.write( "12=8 \n" ); document.write( "No, that doesn't work. \n" ); document.write( "10+(6/3)=2(6) \n" ); document.write( "12=12 \n" ); document.write( "Yes, that works. \n" ); document.write( "The number is 36. \n" ); document.write( "36=2*(3*6)=36 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "The other possible solution is 00, because \n" ); document.write( "00=2(0*0) \n" ); document.write( "although I'm not sure that 0 is really a 2 digit number. \n" ); document.write( " |