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ra1l [238]
3 years ago
14

If 1 is added to the numerator and to the denominator of a fraction,the value obtained is 4/5.If 5 is subtracted from it's numer

ator and from it's denominator, the resulting value is 1/2.Find the fraction.

Mathematics
1 answer:
Step2247 [10]3 years ago
4 0
Let n and d represent the numerator and denominator of the fraction.
.. (n +1)/(d +1) = 4/5
.. (n -5)/(d -5) = 1/2
Eliminating fractions from these equations gives
.. 5(n +1) = 4(d +1)
.. 2(n -5) = (d -5)
Subtracting the first equation from 4 times the second gives
.. 4(2(n -5)) -(5(n +1)) = 4(d -5) -(4(d +1))
.. 8n -40 -5n -5 = 4d -20 -4d -4
.. 3n = 21
.. n = 7
.. 2(7 -5) = d -5
.. 9 = d

The fraction is 7/9.

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