SOLUTION: The ratio of the numerator to denominator is two to three. If ten is added to the numerator and seven is subtracted from the denominator, then the new fraction has a ratio of two t

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The ratio of the numerator to denominator is two to three. If ten is added to the numerator and seven is subtracted from the denominator, then the new fraction has a ratio of two t      Log On


   



Question 1068158: The ratio of the numerator to denominator is two to three. If ten is added to the numerator and seven is subtracted from the denominator, then the new fraction has a ratio of two to one. What's the numerator and denominator?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio of the numerator to denominator is two to three. If ten is added to the numerator and seven is subtracted from the denominator, then the new fraction has a ratio of two to one. What's the numerator and denominator?
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Original ratio:: 2x/3x
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Modified ratio::
(2x+10)/(3x-7) = 2
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2x+10 = 6x-14
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4x = 24
x = 6
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Numerator:: 2x = 12
Denominator:: 3x = 18
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Cheers,
Stan H.
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