Numerator of a fraction is 5 more than its denominator If 4 is added to numerator and denominator , the fraction obtained is. Find the fraction ?
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Step-by-step explanation:
given that numerator is 5 more than denomenator.
let denomenator be
′
x
′
⇒ numerator =
′′
x+5
′′
fraction =
5
x+5
4 is added to both numerator and denomenator
transformed fraction ⇒
x+4
(x+5)+4
⇒
(x+4)
(x+9)
⇒
5
6
=
x+4
x+9
⇒6x+24=5x+45
⇒x=21
∴ fraction =
x
x+5
=
21
21+5
=
21
26
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