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

From the given word problem, the smaller number is 5

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

Let's assume the smaller number is represented by x and the larger number is represented by y.

According to the given information in the word problem, the difference between the two numbers is 25. This can be expressed as:

y - x = 25   (Equation 1)

It is also stated that the smaller number is 1/6th of the larger number:

x = (1/6) * y   (Equation 2)

To find the value of the smaller number (x), we can substitute Equation 2 into Equation 1:

y - (1/6) * y = 25

Multiplying through by 6 to eliminate the fraction:

6y - y = 150

5y = 150

Dividing both sides by 5:

y = 30

Substituting the value of y back into Equation 2:

x = (1/6) * 30 = 5

Therefore, the value of the smaller number is 5.

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