Question

in a fraction, twice the numerator is 2 more than the denominator. If 3 is added to the numerator and to denominator, the new fraction is 2/3. Find the original fraction.​

Answer 1

Let the fraction be x/y

Thus 2x = 2 + y - - - >eqn 1

$\frac{x + 3}{y + 3} = \frac{2}{3} \\ \\ 3x + 9 = 2y + 6 \\ 3x - 2y = - 3$

eqn 2

By solving eqns simultaneously we have

X = 7

And y=12

Thus fraction is 7/12

Answer 2

Refer to the attachment......