SOLUTION: The denominator of a fraction is one less than twice the numerator. If seven is added to both the numerator and the denominator, the resulting fraction has a value of seven-tenths.

Question 242967: The denominator of a fraction is one less than twice the numerator. If seven is added to both the numerator and the denominator, the resulting fraction has a value of seven-tenths. Find the original fraction.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The denominator of a fraction is one less than twice the numerator. If seven is added to both the numerator and the denominator, the resulting fraction has a value of seven-tenths. Find the original fraction.
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Let the numerator be "x".
The the denominator is "2x-1".
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Equation:
(x+7/(2x-1+7) = 7/10
Cross multiply to get:
10(x+7) = 7(2x+6)
10x + 70 = 14x+42
4x = 28
x = 7
2x-1 = 13
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The original fraction is 7/13
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Cheers,
Stan H.
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