SOLUTION: please help me in this question: The denominator of a fraction is 1 less than twice the numerator. If 7 is added to both the numerator and denominator the resulting fraction has s

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Question 70130This question is from textbook
: please help me in this question: The denominator of a fraction is 1 less than twice the numerator. If 7 is added to both the numerator and denominator the resulting fraction has s value of 7/10. Find the original fraction. This question is from textbook

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




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