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

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The ratio of two positive numbers is 6 to 5. If the difference between the two numbers is 8, what are the numbers?       Log On


   



Question 479469: The ratio of two positive numbers is 6 to 5. If the difference between the two numbers is 8, what are the numbers?

Found 2 solutions by jorel1380, stanbon:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
x+8/x:6/5
5x+40=6x
x=40
x+8=48
The two numbers are 48 and 40..

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio of two positive numbers is 6 to 5. If the difference between the two numbers is 8, what are the numbers?
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Equations:
x/y = 6/5
x-y = 8
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x = y+8
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Substitute for "x" and solve for "y":
(y+8)/y = 6/5
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y+8 = (6/5)y
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(1/5)y = 8
y = 40
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Solve for "x":
x = y+8
x = 48
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cheers,
Stan H.