SOLUTION: The sum of the digits of a two digit number is 7. When the digits of the two digit number are reversed, the number itself is increased by 27. Find the original two digit number.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of the digits of a two digit number is 7. When the digits of the two digit number are reversed, the number itself is increased by 27. Find the original two digit number.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1118112: The sum of the digits of a two digit number is 7. When the digits of the two digit number are reversed, the number itself is increased by 27. Find the original two digit number.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the digits of a two digit number is 7. When the digits of the two digit number are reversed, the number itself is increased by 27. Find the original two digit number.
---------
Reversing the digits always changes the number by 9*(difference between the digits)
----
You can do this "in your head."
T + U = 7
T - U = 3
------------
--> 52
==========
Since it increased, it's 25.