Question

a fraction becomes 4 by 9 if 1 is added to the numerator. if 3 is added to the numerator and 3 subtracted from the denominator then it becomes 2 by 3. find the fraction

Answer 1

Solution is in the attached image..

Answer 2

Fraction =$\frac{7}{18}$

Step-by-step explanation:

Let the numerator be x

Let the denominator be y

If 1 is added to the numerator a fraction becomes 4 by 9

So,$\frac{x+1}{y}=\frac{4}{9}$

9x+9=4y

9x-4y+9=0 ---A

If 3 is added to the numerator and 3 subtracted from the denominator then it becomes 2 by 3

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

3x+9=2y-6

3x-2y+15=0 ---B

Plot A and B on graph

9x-4y+9=0 -- Black

3x-2y+15=0 --- Red

Intersection will provide the solution

(x,y)=(7,18)

So, Fraction =$\frac{7}{18}$

#Learn more:

When 2 is added to the denominator and 3 is subtracted from the numerator a fraction becomes

2/9.and when

when 7 added to numerator and the denominator is multiplied by 3 it becomes 4/7.

find fraction

https://brainly.in/question/10071383