Answer:
The Original Number is 36
Explanation:
Given:
y is the number in units place
x is the number in tens place
Original Number =

is equation 1
Now after interchanging the digits
New number =

New Number = 27 + Original Number
Substituting Valus in above equation we get.

let this be equation 2
Adding equation 1 and 2 we get

Substituting value of y in equation 1 we get

x=3 and y=6
Original Number =