SOLUTION: The sum of the digits of a two-digit number is 15. if the digits are interchanged the new number minus the original number is equal to -9 . find the original number.
Algebra.Com
Question 1031450: The sum of the digits of a two-digit number is 15. if the digits are interchanged the new number minus the original number is equal to -9 . find the original number.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the 2 digits be:
for the units digit
for the tens digit
-----------------------
(1)
-----------------------
The VALUE of the original number
is:
When you interchange the digits, the
VALUE of the new number becomes:
----------------------------
(2)
-----------------------------
(2)
(2)
--------------------
Add (1) and (2)
(2)
(1)
------------------
and
(2)
(2)
(2)
-----------------
The original number is 87
-----------------------
check answer:
The sum of the digits of a two-digit number is 15
OK
If the digits are interchanged the new number
minus the original number is equal to -9
OK
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