Question

A fraction becomes 1/3 if 1 is subtracted from both its numerator and denominator. If 1 is added to both the numerator and denominator, it becomes 1/2. Find the fraction.

Answer 1

Answer:

your ans is 3/7......................

Answer 2

Fraction = = 3/7.

Step-by-step explanation:

Let x be the numerator and y the denominator.

Fraction will be x/y.

Given:

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

3x - y = 2 -------------(1)

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

 2x - y = -1 -------------(2)

Subtracting (2) from (1), we get: x = 3

Therefore x = +3

Substituting in x = 3 equation 1, we get 9 - y = 2

Therefore y = 7

Hence solved. x = 3, y = 7

So the fraction will be x/y = 3/7.