Let the three-digit number be

The sum of the three digits will be

The original digits will be

By reversing the digits we will have (smaller number)

If a hundred digits is x, then the unit digit will be

If we dive the original number by the smaller number we will have a quotient of 3 and a remainder of 178, we will have

lets substitute equation (4) in equation (1)

lets substitute equation (4) in equation (5)

combining equations (6) and (7) and solving simultaneously, we will have

Substitute equation (8) in equation 7, we will have

substitute z=2 in equation (8)

Recall equation (4)

SINCE THE ORIGINAL NUMBER IS

Hence,
The original number is = 802