SOLUTION: A two-digit number is three times the sum of it’s digits. When the number is subtracted from the number obtained by reversing the digits, the result is 45. Find the original numb

Question 1146480: A two-digit number is three times the sum of it’s digits. When the number is subtracted from the number obtained by reversing the digits, the result is 45. Find the original number.
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
The two-digit number:

First Sentence:

Second Sentence:

This system should be easy to work with and solve.
Some logic may also be useful...

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the tens digit of the original number
Let = the units digit of the original number
--------------------------------------------------------
(1)
(2)
-----------------------------------------
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
and
(2)
(2)
(2)
(2)
and
(2)
(2)
(2)
-----------------------
The original number is 27
---------------------------------
check:
(1)
(1)
and
(2)
(2)
OK

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