Question

in a rational number , twice the numerator is 2 more than the denominator . If 3 is added to each , the numinator and the denominator , the new fraction is 2/3 . Find the original numbers?​

Answer 1

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Step-by-step explanation:

Given when 3 is added to both the numerator and denominator, the fraction becomes 2/3. Therefore the fraction is 7/12. Given when 3 is added to both the numerator and denominator, the fraction becomes 2/3. Therefore the fraction is 7/12.

Answer 2

Answer:

Step-by-step explanation:

let the fraction be x/y

As per question -

2x = y + 2

y = 2x - 2  ------- 1

When 3 is added to numerator & denominator

(x + 3) / (y + 3) = 2 / 3

3(x + 3) = 2(y + 3)

3x + 9 = 2y + 6

3x - 2y = 6 - 9

3x - 2y = -3

3x -2(2x - 2) = -3     from 1

3x - 4x + 4 = -3

-x + 4 = -3

-x = -3 -4

-x = -7

x =7

putting value of x in y = 2x - 2 we get

y = (2 x 7) - 2

y = 14 - 2

y = 12

Therefore x = 7 and y = 12

And  the fraction is 7 / 12