SOLUTION: 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

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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
Answer by 55305(86) About Me  (Show Source):
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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.
The number is 25.