Explanation:

Let two digits be x and y
then x+y=11........(1)

the number is 10x+y
the reversed number is  10y+x

therefore 10x+y+4=10y+x-41
9x-9y=45
x-y=-5

therefore , x=-5+y  .......(2)

By substitution method in (1) and (2)

-5+y+y=11
2y=16 =8

x=-5+8 = 3

the number is 38

Hence, option 3 is the correct answer.