Question

If 2 is added to the numerator of a fraction, it becomes 1/2 and 1 is subtracted
from the denominator it becomes 1/3. The fraction will be​

Answer 1

Answer:

Let the numerator be x

denominator be y

Original fraction = x/y

if 2 is added to the numerator of a fraction becomes 1/2

=> (x+2)/y = 1/2

=> 2x + 4 = y

if 1 is subtracted from the denominator it becomes 1/3

=> x/(y-1) = 1/3

=> 3x = y - 1

=> y = 3x + 1

equating both the above equation :

2x + 4 = 3x + 1

=> 3x - 2x = 4 - 1

=> x = 3

=> y = 3x + 1 = 9 + 1 = 10

Hence the original fraction will be 3/10.

Hope it helps:)