SOLUTION: the ten's digit of a two digit number exceeds the unit's digit by 4. the sum of the digits is 10. find the number.

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Question 765123: the ten's digit of a two digit number exceeds the unit's digit by 4. the sum of the digits is 10. find the number.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = tens digit
Let +u+ = units digit
given:
(1) +t+=+u+%2B+4+
(2) +t+%2B+u+=+10+
----------------
Substitute (1) into (2)
(2) +u+%2B+4+%2B+u+=+10+
(2) +2u+=+6+
(2) +u+=+3+
and
(1) +t+=+u+%2B+4+
(1) +t+=+3+%2B+4+
(1) +t+=+7+
The number is 73