SOLUTION: The difference of 2 numbers is 67. The larger number is 3 less than 6 times the smaller number.

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Question 210393: The difference of 2 numbers is 67. The larger number is 3 less than 6 times the smaller number.
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the larger number and y be the smaller number.
From the information given, you can write 2 equations:
Equation #1; x-y=67
Equation #2: x=6y-3
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You now have 2 equations and 2 unknowns. Anytime you have as many equations as unknowns, you can solve the problem!
Substitute the expression for x in Equation #2 into Equation #1:
6y-3-y=67
Solve for y:
5y=70
highlight%28y=14%29
To get x, substitute this value of y into Equation #2 and solve for x. I will leave that part up to you.
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Good Luck,
tutor_paul@yahoo.com