The sum of ABC's three numbers is 255. It is known that a divided by B and B divided by C are quotient 5. What are the three numbers a, B and C?

The sum of ABC's three numbers is 255. It is known that a divided by B and B divided by C are quotient 5. What are the three numbers a, B and C?

Let C be x, then B be 5x + 1 and a be 5 (5x + 1) + 1
5(5x+1)+1+5x+1+x=255
31x+7=255
31x=248
x=8
B:5×8+1=41
A:255-8-41=206