Answer: the smaller number is 5
Step-by-step explanation:
Let the smaller number be represented by x.
Let the bigger number be represented by y
The difference between two numbers is 25. It means that
y - x = 25 - - - - - - 1
The smaller number is 1/6th of the larger number. This means that
y = 6x
Substituting y. = 6x into equation 1, it becomes
6x - x = 25
5x = 25
x = 25/5 =5
y = 6x = 6×5 = 30
