SOLUTION: The sum of two-digit number is 9. The original two-digit number is 27 less than the number formed by reversing the digits. Find the original number

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Question 548685: The sum of two-digit number is 9. The original two-digit number is 27 less than the number formed by reversing the digits. Find the original number
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
t=the ten digit and u=the units digit.
t+u=9
u=9-t
.
10u+t-27=10t+u
10(9-t)+t-27=10t+9-t
90-10t+t-27=10t+9-t
63-9t=9t+9
-18t=-54
t=3
u=6
36 is the original number.
.
Ed