Question

in a fraction twice the numerator is 2 more than the denominator if 3 is added to the numerator and to the denominator the new fraction is 2 by 3 find the original fraction

Answer 1

Given data:

Let’s denote numerator as N and Denominator as D

From the question, we infer the following:

2N = 3 + D -------------------------------- (1)

(3 + N) / (3 + D) = 2/3 -----(2)

Solution:

From equation (1), N = (3+D) / 2

Now expand the equation (2)

= > 9 + 3N = 6 + 2D

= > 3N = 2D - 3

Replace the value of N in above step

3 x (3+D)/2 = 2D - 3

9 + 3 D = 4D – 6

So, D=15

Substituting value of D in equation (1),

N = (3 + 15) / 2

So, N = 9

Therefore, fraction is N/D = 9/15

Answer 2

See the attachment......