Question

16. A fraction becomes 4/5 when 5 is added to
its numerator and 1 is subtracted from its
denominator. It becomes 1/2 when 3 and 5
are subtracted from its numerator and
denominator. The numerator of the
fraction will be​

Answer 1

Let the fraction be p/q
give that the fraction will become 4/5 if 1 is added to numerator and denominator
so
4/5 =(p+1)/(q+1)
4q+4 = 5p+5
and
(p-5)/(q-5)=1/2
2p-10=q-5
q= 2p-5
SO
    4(2p-5) +4 =5p+5
   8p-20+4 = 5p+5
    3p= 21
    p=7
Therefore q=2*7-5
          q=9
So the fraction is 7/9

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