Question

The sum of digits of a two digit number is g. If 27 is subtracted from
the number then digite interchange their
places. Find the number​

Answer 1

Answer:

63

Step-by-step explanation:

First of all I assume that you miswrote 9 is g.

Let the digit in unit's place be u and the digit in ten's place be t.

So the number is tu.

It is given that:

u+t= 9

10*t + u is the actual number

10*t + u - 27 = reverse of the number

Now reverse of the number is

10*u + t

Hence

10*t+u - 27= 10*u +t

or

10*t - t + u - 10*u = 27

or

9*t - 9*u= 27

or

9*(t-u)=27

or

t-u=27/9=3

t-u = 3

Also

u + t= 9

Adding both equations we get:

(t-u)+(u+t)=9+3=12

t-u+u+t=12

2*t=12

t=6

from the equation u+t=9 we get

u+6=9

u=9-6

u=3

Hence the number is tu which is 63.

Let's crosscheck.

63-27=36

Digits reversed.