The difference between two numbers is 25. the smaller number is 1/6th of the largest number. what is the value of the smaller number?

Difference between x and y is 25
lets say x is bigger
x-y=25

smaller is 1/6 of larger
y=x/6

sub x/6 for y in other equation
x-(x/6)=25
times both sides by 6
6x-x=150
5x=150
divide both sides by 5
x=30

y=x/6
y=30/6
y=5

the smaller number is 5