Question

In a fraction, twice the numerator is 2 more then the denominator. if 3 is added to the numerator and to the denominator, the new fraction is 2/3. find the fraction.

Answer 1

7/12 is your answer dear

Answer 2

$\underline{\large\bf{\mathfrak{Solution :}}}$

Let the dinominator be x
So, the numerator be y

y + 2 = 2x
=> y = 2x - 2

According to Question,

$\frac{x + 3}{2x - 2 + 3} = \frac{2}{3} \\ \\ \\ = > \frac{x + 3}{2x + 1} = \frac{2}{3} \\ \\ = > 3(x + 3) = 2(2x + 1) \\ \\ = > 3x + 9 = 4 x + 2 \\ \\ = > 9 - 2 = 4x - 3x \\ \\ = > \boxed{7 = x}$

Dinominator = 2x - 2
= 2(7) - 2
= 14 - 2
= 12

Hence, The numerator is 7
& the dinominator is 12

So, the fraction is 7/12

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