SOLUTION: The units digit is eight times the tens digit of a digit of a two-digit number. The original number minus the number when the digits are reversed is -63. What is the original numbe

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Question 911608: The units digit is eight times the tens digit of a digit of a two-digit number. The original number minus the number when the digits are reversed is -63. What is the original number?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +u+ = the units digit
Let +t+ = the tens digit
The "value" of the number is:
+10t+%2B+u+
---------------------------
(1) +u+=+8%2At+
Right away you know that +t+=+1+
Anything higher would make +u+
a 2-digit number
-----------------------
(2) +10t+%2B+u+-+%28+10u+%2B+t+%29+=+-63+
Since +t=1+,
(2) +10+%2B+u+-+10u+-+1+=+-63+
(2) +-9u+=+-63+-+9+
(2) +-9u+=+-72+
(2) +u+=+8+
The number is 18