SOLUTION: The sum of the digits of a two digit number is 13 if the digits are reversed the new number is nine more than the original number find the original number

Question 843267: The sum of the digits of a two digit number is 13 if the digits are reversed the new number is nine more than the original number find the original number
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
set d = the left hand digit
e = right hand digit
d + e = 13
Possible sets of two positive numbers whose sum is 13
1 12
2 11
3 10
4 9
5 8
6 7
For our problem each number needs to be 1 digit so
we are left with
4 9
5 8
6 7
Consider 94 and 49. There difference is more than 13.
58 and 85 , difference is more than 13
67 and 76. These are our numbers.
Notice that 76-67 = 13.
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