Question 792837
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+N}}}, and we know that {{{M+N=7}}} and {{{(10N+M)-(10M+N)=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+N=7}}} and {{{N-M=3}}} are M=2 and N=5. 

The number is 25.