Question 868893
one digit is x
other digit will be (11-x)

product is 24

x(11-x)=24
11x-x^2=24

rearrange 

x^2-11x+24=0

x^2-8x-3x+24=0

x(x-8)-3(x-8)=0
(x-8)(x-3)=0
x=8 OR 3

The number can be 83 OR 38