SOLUTION: The ratio between two positive numbers is 6 to 5. If the difference between the two numbers is 8, what are the two numbers?

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Question 301382: The ratio between two positive numbers is
6 to 5. If the difference between the two
numbers is 8, what are the two numbers?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A and B be your numbers.
1.A%2FB=6%2F5
2.A-B=8
From eq.1,
5A=6B
Use that in eq. 2 after multiplying it by 5,
5A-5B=40
6B-5B=40
highlight_green%28+B=40%29
Now use either equation to solve for A.
A-B=8
A-40=8
highlight_green%28+A=48%29