Lets,

**First digit number = x**

**Second digit number = y**

**Number = (x+10y)**

A/Q,

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

A/Q,

(x+10y) = (10x+y) + 27

x + 10y = 10x + y +27

9x - 9y = 27

9(x - y) = 27

x - y = 27/9

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

Equation (i) and (ii) we get,

x = 3

Putting the value of x in eq.(i)

we get,

y = 6

**Number = (10x +y)**

= 10 x 3 + 6

= 30 + 6

= 36