SOLUTION: The sum of the digits of a two-digit number is 9. The number with the digits interchanged is 6 times the sum of the digits. Find the original number.

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Question 1002080: The sum of the digits of a two-digit number is 9. The number with the digits interchanged is 6 times the sum of the digits. Find the original number.
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let there be 2 digits: n and 9-n
The first number is 10n+(9-n)
Interchanging the digits gives you
10(9-n)+n=54
90-9n=54
9n=36
n=4
9-n=5
The digits are 4 and 5!!!!!!!!!!!!!!