The correct option is A 24
Let the 2-digit number by XY, whose expanded form is 10X + Y.
The number obtained by reversing its digits is YX, whose expanded form is 10Y + X.
As per the data,
10X + Y = 4(X + Y) --- (i) and 10X + Y + 18 = 10Y + X --- (ii)
Substituting (iii) in (iv), we get:
X + 2 = 2X
⇒ X = 2
Thus, (iii) ⇒ Y = 4
Hence, the required number is 24.