Question

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

Answer 1

answer is 3/7 and process is in the picture

Answer 2

Answer:

Hello my friend here is the answer.

Step-by-step explanation:

Let us assume, x be the numerator and y be the denominator of a fraction.

Therefore, given fraction is x/y

Given:

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

3x - 3 = y - 1

3x - y = 2 

y = 3x - 2 -------------------1

Also given:

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

2x + 2 = y + 1

y - 2x = 1 -------------2

Substitute the value of y from equation 1

3x - 2 - 2x = 1

x - 2 = 1

x = 1 + 2

x = 3

Therefore, y = 3x - 2 = 3 * 3 - 2 = 7

y = 7

Therefore, the given fraction is x/y = 3/7

Hope this helps !!!!