document.write( "Question 792837: find the original number if the sum of digit and the number obtained by interchanging the digits are as follow 7,27 more than the original number \n" ); document.write( "

Algebra.Com's Answer #480152 by 55305(86) $\"\"$ $\"About$

You can put this solution on YOUR website!
Suppose the number is MN(where M is the digit in the tens place and N is the digit in the ones place). The number's value is $\"10M%2BN\"$ , and we know that $\"M%2BN=7\"$ and $\"%2810N%2BM%29-%2810M%2BN%29=27\"$ . Simplifying the second equation, we get $\"9N-9M=27\"$ . Dividing both sides of the equation by 9, we have $\"N-M=3\"$ . So the two numbers that will satisfy $\"M%2BN=7\"$ and $\"N-M=3\"$ are M=2 and N=5. \r
\n" ); document.write( "\n" ); document.write( "The number is 25. \n" ); document.write( "

\n" );