SOLUTION: The sum of the digits of a two-digit number is 8. the number with its digits interchanged is 11 times the original units digit.

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Question 575883: The sum of the digits of a two-digit number is 8. the number with its digits interchanged is 11 times the original units digit.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the units digit = +b+
Let the 10's digit = +a+
given:
(1) +a+%2B+b+=+8+
(2) +10b+%2B+a+=+11b+
----------------
(2) +b+=+a+
and
(1) +2a+=+8+
(1) +a+=+4+
(1) +b+=+4+
The number is 44