Question

if 2 is subtracted from the
numerator and 1 is subtracted from the denominator a fraction becomes 1/2, but when 4 is added to the numerator and 3 is subtracted from the denominaton, it becomes 3/2 find the fraction​

Answer 1

Answer:

Let the fraction be x/y.

According to the Question,

⇒ x - 2/y + 1 = 1/2

⇒ 2x - 4 = y + 1

⇒ 2x - y = 5 ... (i)

Also, x + 4/y - 3 = 3/2

⇒ 2x + 8 = 3y - 9

⇒ 2x - 3y = - 17 ....(ii)

Subtracting Eq (ii) from (i), we get

⇒ 2y = 22

⇒ y = 22/2

⇒ y = 11

Putting y's value in Eq (i), we get

⇒ 2x - 11 = 5

⇒ 2x = 11 + 5

⇒ 2x = 16

⇒ x = 16/2

⇒ x = 8

Hence, the required fraction is 8/11.