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 the numbers be x and y, x being the larger one
x- y = 25 ; the difference between two numbers is 25
y = 1/6 x ; the smaller number is 1/6 the larger one
So you can solve the value of x by substituting the value of y in the first equation:
x - 1/6x =25
5/6 x = 25
x = 25 x 6/5
x = 30.
Now solve the value of y by substituting the value of x in any of those equations:
y = 1/6 x
y = 1/6 x 30
y = 5
So the value of the smaller number is 5.
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