The correct option is C 63
Let the units digit be y and the tens digit be x.
Then, the number is of the form 10x + y.
By reversing the digits, the number will become 10y + x.
Given: x + y = 9 ..…(i)
( 10x + y) - (10y + x ) = 27
⇒9×(−9y)=27
⇒ x - y = 3
From (i) and (ii), we get
2x = 12
⇒ x = 6
Substituting the value of x in (i), we get, y = 3
Thus, the number is (10 × 6) + 3 = 63. Hence, the correct answer is option (3).