SOLUTION: The difference of two numbers is 67. The larger number is three less than six times the smaller number. Find the numbers.

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Question 179043This question is from textbook Algebra for College Students
: The difference of two numbers is 67. The larger number is three less than six times the smaller number. Find the numbers. This question is from textbook Algebra for College Students

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The difference of two numbers is 67. The larger number is three less than six times the smaller number. Find the numbers.
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Equations:
x - y = 67
x = 6y - 3
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Substitute to solve for "y":
6y-3 - y = 67
5y = 70
y = 14
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Since x - y = 67, x - 14= 67; x = 81
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Cheers,
Stan H.