SOLUTION: Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two-digit number, four times the sum of its two digits
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Question 957727: Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two-digit number, four times the sum of its two digits is 21 less than the reversed two-digit number.
The difference of the original two-digit number and the number with reversed digits is Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = the tens digit
Let = the units digit
------------------------
(1)
(2)
--------------------------------
(1)
(1)
---------------------
(2)
(2)
----------------------
Multiply both sides of (2) by
and both sides of (1) by
and add the equations
(1)
(2)
-------------------------
and
(1)
(1)
(1)
(1)
The original number is 98
Number with reversed digits is 89
-----------------
check:
(1)
(1)
(1)
(1)
OK
(2)
(2)
(2)
(2)
OK
