Question

Dy a valigent.
- 4. The sum of the digits of a 2 digit number is 11. The number obtained on interchanging its
digit is 27 more than the original number. Find the original number​

Answer 1

Let numbers be x and y,

x+y=11. (1)

original number be 10x+y=11.

interchanged number 10y+x=27+10x+y

9y-9x=27

y-x=3

By (1) x+y=11

2y=14

y=7

y-x=3

7-x=3

x=4

Original number is 47

and inverse number is 74

Hope you'll find it helpful