SOLUTION: When the digits of a 2 digit number, neither digit being a 0, are reversed, the number formed is 36 less than the original number. Determine the values possible for the sum of t

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Question 948803: When the digits of a 2 digit number, neither digit being a 0, are reversed, the number formed is 36 less than the original number.
Determine the values possible for the sum of the digits of the original number.
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
u, units
t, tens
Original: 10t%2Bu
Reversed: 10u%2Bt

10u%2Bt=-36%2B%2810t%2Bu%29

10u%2Bt-%2810t%2Bu%29=-36
10u%2Bt-10t-u=-36
9u-9t=-36
u-t=-4
highlight_green%28t-u=4%29

Only a few combinations are possible for the digits.
Whole numbers only.
t%3C=9 and u%3E=1.
Simple arithmetic facts will help you find t and u.

Acceptable Original Numbers: 95, 84, 73, 62, 51.