Question

The numerator and the denominator of a fraction are in the ratio 2:7. If two is added to the numerator and three is added to the denominator, then the new fraction becomes 2/5. find the original fraction.​

Answer 1

Answer:

let the numerator =2 x

denominator =7x

if two is added to the numerator and three is added to th e denominator then

2x+2/7x+3=2/5

x=1

the numeratoe =2*1=2

deninator=7*1=7

fraction = 2/7

hope ir helps

Answer 2

Answer:

$\frac{2x + 2}{7x + 3 } = \frac{x - 3}{x} \\ x - 3(7x + 3) = x(2x + 2) \\ 7 {x}^{2} + 3x - 21x + 9 = x(2x + 2)$