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Home Q & A Board Science-Related Homework Help Mathematics Algebra (Moderator: bio_man)
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presidente presidente
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6 years ago
There is a fraction such that if 5 is subtracted from the numerator, its value will be 1/4, and if 7 is added to the denominator, its value will be 1/3. What is the fraction?
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#1
6 years ago
hi there, let n = the numerator
let d = the denominator
:
"if 5 is subtracted from the numerator, its value will be 1/4,"
(n-5)/d=1/4
cross multiply
d = 4(n-5)
d = 4n - 20
"if 7 is added to the denominator, its value will be 1/3."
n/(d+7)=1/4
cross multiply
3n = (d+7)
replace d with *(4n-20) (from the 1st statement)

3n = 4n - 20 + 7
3n - 4n = -13
-n = -13
n = 13
Find d
d = 4(13) - 20
d = 52 - 20
d = 32
:
The original fraction = 13/32
i have given you the website where i found this answer. Hope this helps Wink Face
Source  https://www.algebra.com/algebra/homework/proportions/Proportions.faq.question.911374.html
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