# In A Rational Number, Twice The Numerator Is 2 More Than The Denominator. If 3 Is Added To Each, The Numerator And The Denominator, The New Fraction Is 2/3. Find The Original Number.

Let the numerator be x

Denominator will be = 2x – 2

Now by adding 3 to both the fraction:

$\frac{x + 3}{2x -2 + 3} = \frac{2}{3}$

3x + 9 = 4c – 4 + 6

7 = x

Therefore, Denominator = 2x − 2 = 12

Fraction = $\frac{x}{2x – 2}\frac{7}{12}$

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