The sum of two consecutive number is 13.when the numbers are reversed the original number is increased by 9.find the original number?

"The sum of two consecutive number is 13"

A quick mental check shows the two numbers must be 6 and 7

Don't know what you mean by reversing a single digit number.

Perhaps the question should have said:
The sum of the digits of a number is 13.
If the digits are reversed, then the difference between the new number
and the old number is 9

the answer to that would be 67