Question

denominator of a number is 4 less than its numerator if the six added to the numerator it becomes twice the

Answer 1

Let the numerator be x
So, Denominator will be ( x - 4 )


$fraction \: = \frac{x}{ x - 4}$



Given, if 6 is added to numerator,it becomes twice the original fraction,

Let's continue according to the question,


$= > \frac{x + 6}{x - 4} = \frac{2(x)}{x -4 } \\ \\ => x + 6 = 2x \\ \\ => 6 = 2x - x \\ \\ = > x = 6$


Hence,


$fraction \: = \frac{x}{x - 4} = \frac{6}{6 - 4} = \frac{6}{2} = 3$

Answer 2

Let the numerator be x
Then denominator=x-4
If 6 is added to x, then
x+6 = 2(x-4)
= x+6 = 2x - 8
= x - 2x = -8 - 6
= -x = -14
x= 14

The fraction is x/x-4
= 14/14-4
= 14/10
= 7/5
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