Question

the numerator of a fraction is 6 less than the denominator if 3 is added to the numerator the fraction is equal to 2 by 3 what is original fraction​

Answer 1

SOLUTION:-

Let the denominator be x &

Let numerator be x -6

Given:

If 3 is added to numerator the fraction become 2/3.

Therefore,

$= > \frac{x - 6 + 3}{x} = \frac{2}{3} \\ \\ = > 3x - 18 + 9 = 2x \: \: \: \: \: [cross \: multiplication]\\ \\ = > 3x - 2x = 18 - 9 \\ \\ = > x = 9$

So,

Numerator is, x-6

=) 9-6

=) 3

The original fraction is 3/9.

Hope it helps ☺️