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

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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) About Me  (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.