document.write( "Question 1206161: A two digit number is such that it's product is 12 and when the digits are reversed the number exceeds the original number by 9, what is the original number? \n" ); document.write( "
Algebra.Com's Answer #843418 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Terrible English.... \n" ); document.write( "The 2-digit number does not have a product. \n" ); document.write( "The statement should read \"...is such that the product of its digits is 12...\" \n" ); document.write( "And note \"its digits\", not \"it's digits\". \n" ); document.write( "Now a shortcut for this kind of problem, involving a 2-digit number and the 2-digit number formed by reversing the digits. \n" ); document.write( "The difference between the two 2-digit numbers is 9 times the difference of the two digits. \n" ); document.write( "In this problem, since the difference between the two 2-digit numbers is 9, the difference of the two digits is 1. So the two digits have a product of 12 and a difference of 1, making the two digits 3 and 4. \n" ); document.write( "Finally, since the number with the digits reversed is larger, the number with the digits reversed is 43 and the original number is 34. \n" ); document.write( "ANSWER: 34 \n" ); document.write( " \n" ); document.write( " |