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