SOLUTION: The sum of the digits of a two-digit number is 14. If 36 is subtracted from the number, the resulting number is the original number with its digits interchanged. Find the original

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of the digits of a two-digit number is 14. If 36 is subtracted from the number, the resulting number is the original number with its digits interchanged. Find the original       Log On


   

Question 558275: The sum of the digits of a two-digit number is 14. If 36 is subtracted from the number, the resulting number is the original number with its digits interchanged. Find the original number.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the numbers be x & y x in the tens place.
x+y =14................(1)
--
The number is 10x+y
subtract 36
10x+y-36
new number = 10y+x
10x+y-36=10y+x
9x-9y=36
/9
x-y=4.................(2)
add (1) & (2)
2x=18
/2
x=9
if x= 9 y= 5
the number is 95