numerator and denominator of a fraction are in ratio 3 ratio 5 if 4 subtracted from numerator it reduces 1 by 5 find the fraction
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Answer:
Given:-
Numerator : Denominator = 3 : 5
If 4 subtracted from numerator it reduces 1 by 5.
To Find:-
The Fraction
Solution:-
Let numerator be 3x3x
And denominator be 5x5x
So, Fraction will be \dfrac{3x}{5x}
5x
3x
According to question,
New numerator will be = 3x-43x−4
Which gives \dfrac{1}{5}
5
1
So new fraction:
⇒ \dfrac{3x - 4}{5x} = \dfrac{1}{5}⇒
5x
3x−4
=
5
1
⇒5×(3x-4)=5x⇒5×(3x−4)=5x
⇒15x−20=5x⇒15x−20=5x
⇒15x−5x=20⇒15x−5x=20
⇒10x=20⇒10x=20
⇒x=2⇒x=2
Fraction = \dfrac{3x}{5x}
5x
3x
= \dfrac{3×2}{5×2}
5×2
3×2
= \dfrac{6}{10}
10
6
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