SOLUTION: The sum of the digits of a two digit number is 10 . if the number formed by reversing the digit is less than the original number by 36.find the number . WITH BEST REGARDS

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: The sum of the digits of a two digit number is 10 . if the number formed by reversing the digit is less than the original number by 36.find the number . WITH BEST REGARDS       Log On


   



Question 629508: The sum of the digits of a two digit number is 10 . if the number formed by reversing the digit is less than the original number by 36.find the number .



WITH BEST REGARDS .

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = units digit
y = ten's digit
The value of the number is x + 10y
The new value after reversing the digits is 10x + y
Equations:
x + y = 10 and
10x + y = x + 10y - 36 or 9x - 9y = -36 or x - y = -4
Add the 2 equations, the result is 2x = 6
so x = 3 and y = 7
The original number is highlight%2873%29