SOLUTION: Digits Problem: The units digit of a two-digit number is 3 more than the tens digit. Write all such numbers that are possible. Which of these will be 27 larger than the original

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Question 770469: Digits Problem:
The units digit of a two-digit number is 3 more than the tens digit. Write all such numbers that are possible. Which of these will be 27 larger than the original number when the digit are reversed?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If +t+ = tens digit, and
+u+ = units digit, then
+u+=+t+%2B+3+
The tens digit can't be negative, so
+u+=+0+ is not allowed
+u+=+1+ is not allowed
+u+=+2+ is not allowed
Also, the tens digit can't be +0+, so
+u+=+3+ is not allowed
----------------------
The numbers I'm left with that
satisfy the equation are:
14
25
36
47
58
69
--------
The 2nd part says:
+10t+%2B+u+%2B+27+=+10u+%2B+t+
( note that +10t+%2B+u+ is the actual value of the number )
+10u+-+u+-+10t+%2B+t+=+27+
+9u+-+9t+=+27+
+u+-+t+=+3+
+u+=+t+%2B+3+
-------------
This is telling me that all the
numbers I wrote down satisfies
this condition
I will check that
+14+%2B+27+=+41+
+41+=+41+
------------
+25+%2B+27+=+52+
+52+=+52+
------------
+36+%2B+27+=+63+
+63+=+63+
-------------
You can check the rest