The difference between two numbers is 25. The smaller number us 1/6th of the larger number. What is the value of the smaller number?

5

Step-by-step explanation:

Let L be the larger number and s be the smaller one.

Then we have two equations.

(1) L - s = 25

(2) s = L/6 Multiply both sides by 6

6s = L Substitute the value for L in Equation (1)

6s - s = 25 Combine like terms

5s = 25 Divide both sides by 5

s = 5

The value of the smaller number is 5.