Question

please answer the question​

Answer 1

let the number be xy,

xy-27=yx

10x+y-27=10y+x

9x-9y=27

x-y=3

.........(1)

we have

x+y=9

...........(2)

from (1) & (2)

x=6,y=3

the number is 63

Answer 2

Let the first digit be x and second be y

Orifinal no is 10x+y

x+y=9..........(1)

No we get after interchanging the digits

Is 10y+x

10x+y+27=10y+x

9x-9y=-27

x-y=-3............(2)

(1)+(2)

x+y=9

+ x-y=-3

...................

2x=6

X=3

x+y=9

3+y=9

y=6

Therefore

The no is

10x+y=10(3)+6

=30+6

=36