SOLUTION: When the digits of a two-digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. WHat is the original

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Let = the tens digit of the original number
Let = the units digit of the original number
given:
The original number is
The number with the digits reversed is
(1)
(2)
---------------------
From (1)
(1)
(1)
(1)
(1)
Add (1) and (2)
(2)
(1)
(3)

And, since
(2)
(2)
(2)
The original number is 56
check:
(1)
(1)
(1)
(2)
(2)
(2)
OK