SOLUTION: the tens digit of a number is 3 less than the units digit. if the numbers is divided by the sum of the digits, the quotient is 4 and the remainder is 3. what is the original number

Question 990808: the tens digit of a number is 3 less than the units digit. if the numbers is divided by the sum of the digits, the quotient is 4 and the remainder is 3. what is the original number?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the tens digit
Let = the units digit
------------------------
(1)
(2)
-------------------------------------
Multiply both sides of (2) by
(2)
(2)
(2)
(2)
and
(1)
Add (1) and (2)
-----------------

and
(1)
(1)
(1)
The number is 47
-----------------
check:
(2)
(2)
(2)
(2)
(2)
OK
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