Question

the numerator of a fraction is 6 less than denominator if 3 is added to the numerator and 1 is subtracted from the denominator the fraction is equal to 2/3 find the original number​

Answer 1

Answer:

Correct option is

A

9

3

Let denominator =x

thus numerator =x−6

By condition

x

x−6+3

=

3

2

3(x−3)=2x

3x−9=2x

x=9

So denominator =x=9

thus numerator ⇒x−6=9−6=3

Original fraction =

9

3

Answer 2

Answer:

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Step-by-step explanation:

Let denominator = x

thus numerator =( x – 6 )

By condition ,

$\frac{x - 6 + 3}{x} = \frac{2}{3} \\ 3(x – 3) = 2x \\ \: 3x – 9 = 2x \\ x= 9$

So denominator =( x = 9 )

thus numerator => (x – 6) =( 9 – 6 )= 3

Hence, Original fraction = $\frac{3}{9}$