SOLUTION: One positive number is one-sixth of another number. The difference of the two numbers is 105. Determine the smaller of the two numbers.

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Question 876710: One positive number is one-sixth of another number. The difference of the two numbers is
105. Determine the smaller of the two numbers.

Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
x = the first number
y = the second number
x = (1/6)y
y - x = 105
substitute (1/6)y for x
y - (1/6)y = 105
(5/6)y = 105
multiply each side by 6/5
y = 105*(6/5)
y = ((5*21)*6)/5
y = 126
x = (1/6)(126)
x = 21